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Finding the Third Proportional to 34,514 and 48,940

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Solution

The third proportional to 34,514 and 48,940 is: 69,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,514 : 48,940 = 48,940 : x
  2. Step 2: Convert to fraction form
    34,514/48,940 = 48,940/x
  3. Step 3: Cross multiply
    34,514x = 48,940 × 48,940
  4. Step 4: Simplify right side
    34,514x = 2,395,123,600
  5. Step 5: Solve for x
    x = 2,395,123,600/34,514
  6. Step 6: Final answer
    x = 69,395.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.