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Finding the Third Proportional to 9,697.22 and 21,211.24

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Solution

The third proportional to 9,697.22 and 21,211.24 is: 46,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.22 : 21,211.24 = 21,211.24 : x
  2. Step 2: Convert to fraction form
    9,697.22/21,211.24 = 21,211.24/x
  3. Step 3: Cross multiply
    9,697.22x = 21,211.24 × 21,211.24
  4. Step 4: Simplify right side
    9,697.22x = 449,916,795.14
  5. Step 5: Solve for x
    x = 449,916,795.14/9,697.22
  6. Step 6: Final answer
    x = 46,396.48

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.