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Finding the Third Proportional to 31,498 and 48,776

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Solution

The third proportional to 31,498 and 48,776 is: 75,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498 : 48,776 = 48,776 : x
  2. Step 2: Convert to fraction form
    31,498/48,776 = 48,776/x
  3. Step 3: Cross multiply
    31,498x = 48,776 × 48,776
  4. Step 4: Simplify right side
    31,498x = 2,379,098,176
  5. Step 5: Solve for x
    x = 2,379,098,176/31,498
  6. Step 6: Final answer
    x = 75,531.72

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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.