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Finding the Third Proportional to 48,512 and 70,874

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Solution

The third proportional to 48,512 and 70,874 is: 103,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,512 : 70,874 = 70,874 : x
  2. Step 2: Convert to fraction form
    48,512/70,874 = 70,874/x
  3. Step 3: Cross multiply
    48,512x = 70,874 × 70,874
  4. Step 4: Simplify right side
    48,512x = 5,023,123,876
  5. Step 5: Solve for x
    x = 5,023,123,876/48,512
  6. Step 6: Final answer
    x = 103,543.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.