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Finding the Third Proportional to 31,304 and 48,876

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Solution

The third proportional to 31,304 and 48,876 is: 76,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304 : 48,876 = 48,876 : x
  2. Step 2: Convert to fraction form
    31,304/48,876 = 48,876/x
  3. Step 3: Cross multiply
    31,304x = 48,876 × 48,876
  4. Step 4: Simplify right side
    31,304x = 2,388,863,376
  5. Step 5: Solve for x
    x = 2,388,863,376/31,304
  6. Step 6: Final answer
    x = 76,311.76

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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.