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Finding the Third Proportional to 31,737 and 48,624

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Solution

The third proportional to 31,737 and 48,624 is: 74,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737 : 48,624 = 48,624 : x
  2. Step 2: Convert to fraction form
    31,737/48,624 = 48,624/x
  3. Step 3: Cross multiply
    31,737x = 48,624 × 48,624
  4. Step 4: Simplify right side
    31,737x = 2,364,293,376
  5. Step 5: Solve for x
    x = 2,364,293,376/31,737
  6. Step 6: Final answer
    x = 74,496.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.