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Finding the Third Proportional to 31,730 and 44,624

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Solution

The third proportional to 31,730 and 44,624 is: 62,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,730 : 44,624 = 44,624 : x
  2. Step 2: Convert to fraction form
    31,730/44,624 = 44,624/x
  3. Step 3: Cross multiply
    31,730x = 44,624 × 44,624
  4. Step 4: Simplify right side
    31,730x = 1,991,301,376
  5. Step 5: Solve for x
    x = 1,991,301,376/31,730
  6. Step 6: Final answer
    x = 62,757.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.