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Finding the Third Proportional to 15,744 and 34,377

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Solution

The third proportional to 15,744 and 34,377 is: 75,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 34,377 = 34,377 : x
  2. Step 2: Convert to fraction form
    15,744/34,377 = 34,377/x
  3. Step 3: Cross multiply
    15,744x = 34,377 × 34,377
  4. Step 4: Simplify right side
    15,744x = 1,181,778,129
  5. Step 5: Solve for x
    x = 1,181,778,129/15,744
  6. Step 6: Final answer
    x = 75,062.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.