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Finding the Third Proportional to 11,397.38 and 17,128.13

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Solution

The third proportional to 11,397.38 and 17,128.13 is: 25,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.38 : 17,128.13 = 17,128.13 : x
  2. Step 2: Convert to fraction form
    11,397.38/17,128.13 = 17,128.13/x
  3. Step 3: Cross multiply
    11,397.38x = 17,128.13 × 17,128.13
  4. Step 4: Simplify right side
    11,397.38x = 293,372,666.02
  5. Step 5: Solve for x
    x = 293,372,666.02/11,397.38
  6. Step 6: Final answer
    x = 25,740.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.