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Finding the Third Proportional to 9,136.71 and 19,354.10

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Solution

The third proportional to 9,136.71 and 19,354.10 is: 40,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.71 : 19,354.10 = 19,354.10 : x
  2. Step 2: Convert to fraction form
    9,136.71/19,354.10 = 19,354.10/x
  3. Step 3: Cross multiply
    9,136.71x = 19,354.10 × 19,354.10
  4. Step 4: Simplify right side
    9,136.71x = 374,581,020.49
  5. Step 5: Solve for x
    x = 374,581,020.49/9,136.71
  6. Step 6: Final answer
    x = 40,997.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.