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Finding the Third Proportional to 10,387.13 and 25,042.13

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Solution

The third proportional to 10,387.13 and 25,042.13 is: 60,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.13 : 25,042.13 = 25,042.13 : x
  2. Step 2: Convert to fraction form
    10,387.13/25,042.13 = 25,042.13/x
  3. Step 3: Cross multiply
    10,387.13x = 25,042.13 × 25,042.13
  4. Step 4: Simplify right side
    10,387.13x = 627,108,024.52
  5. Step 5: Solve for x
    x = 627,108,024.52/10,387.13
  6. Step 6: Final answer
    x = 60,373.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.