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Finding the Third Proportional to 42,429 and 62,908

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Solution

The third proportional to 42,429 and 62,908 is: 93,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,429 : 62,908 = 62,908 : x
  2. Step 2: Convert to fraction form
    42,429/62,908 = 62,908/x
  3. Step 3: Cross multiply
    42,429x = 62,908 × 62,908
  4. Step 4: Simplify right side
    42,429x = 3,957,416,464
  5. Step 5: Solve for x
    x = 3,957,416,464/42,429
  6. Step 6: Final answer
    x = 93,271.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.