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Finding the Third Proportional to 46,460 and 62,424

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Solution

The third proportional to 46,460 and 62,424 is: 83,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460 : 62,424 = 62,424 : x
  2. Step 2: Convert to fraction form
    46,460/62,424 = 62,424/x
  3. Step 3: Cross multiply
    46,460x = 62,424 × 62,424
  4. Step 4: Simplify right side
    46,460x = 3,896,755,776
  5. Step 5: Solve for x
    x = 3,896,755,776/46,460
  6. Step 6: Final answer
    x = 83,873.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.