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Finding the Third Proportional to 12,562.69 and 17,061.38

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Solution

The third proportional to 12,562.69 and 17,061.38 is: 23,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.69 : 17,061.38 = 17,061.38 : x
  2. Step 2: Convert to fraction form
    12,562.69/17,061.38 = 17,061.38/x
  3. Step 3: Cross multiply
    12,562.69x = 17,061.38 × 17,061.38
  4. Step 4: Simplify right side
    12,562.69x = 291,090,516.89
  5. Step 5: Solve for x
    x = 291,090,516.89/12,562.69
  6. Step 6: Final answer
    x = 23,171.04

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.