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Finding the Third Proportional to 40,288 and 62,624

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Solution

The third proportional to 40,288 and 62,624 is: 97,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,288 : 62,624 = 62,624 : x
  2. Step 2: Convert to fraction form
    40,288/62,624 = 62,624/x
  3. Step 3: Cross multiply
    40,288x = 62,624 × 62,624
  4. Step 4: Simplify right side
    40,288x = 3,921,765,376
  5. Step 5: Solve for x
    x = 3,921,765,376/40,288
  6. Step 6: Final answer
    x = 97,343.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.