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Finding the Third Proportional to 9,211.22 and 14,175.63

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Solution

The third proportional to 9,211.22 and 14,175.63 is: 21,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.22 : 14,175.63 = 14,175.63 : x
  2. Step 2: Convert to fraction form
    9,211.22/14,175.63 = 14,175.63/x
  3. Step 3: Cross multiply
    9,211.22x = 14,175.63 × 14,175.63
  4. Step 4: Simplify right side
    9,211.22x = 200,948,565.63
  5. Step 5: Solve for x
    x = 200,948,565.63/9,211.22
  6. Step 6: Final answer
    x = 21,815.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.