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Finding the Third Proportional to 9,211.29 and 19,736.86

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Solution

The third proportional to 9,211.29 and 19,736.86 is: 42,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.29 : 19,736.86 = 19,736.86 : x
  2. Step 2: Convert to fraction form
    9,211.29/19,736.86 = 19,736.86/x
  3. Step 3: Cross multiply
    9,211.29x = 19,736.86 × 19,736.86
  4. Step 4: Simplify right side
    9,211.29x = 389,543,617.99
  5. Step 5: Solve for x
    x = 389,543,617.99/9,211.29
  6. Step 6: Final answer
    x = 42,289.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.