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Finding the Third Proportional to 40,282 and 62,746

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Solution

The third proportional to 40,282 and 62,746 is: 97,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,282 : 62,746 = 62,746 : x
  2. Step 2: Convert to fraction form
    40,282/62,746 = 62,746/x
  3. Step 3: Cross multiply
    40,282x = 62,746 × 62,746
  4. Step 4: Simplify right side
    40,282x = 3,937,060,516
  5. Step 5: Solve for x
    x = 3,937,060,516/40,282
  6. Step 6: Final answer
    x = 97,737.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.