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Finding the Third Proportional to 46,424 and 62,691

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Solution

The third proportional to 46,424 and 62,691 is: 84,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,424 : 62,691 = 62,691 : x
  2. Step 2: Convert to fraction form
    46,424/62,691 = 62,691/x
  3. Step 3: Cross multiply
    46,424x = 62,691 × 62,691
  4. Step 4: Simplify right side
    46,424x = 3,930,161,481
  5. Step 5: Solve for x
    x = 3,930,161,481/46,424
  6. Step 6: Final answer
    x = 84,657.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.