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Finding the Third Proportional to 31,514 and 48,791

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Solution

The third proportional to 31,514 and 48,791 is: 75,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514 : 48,791 = 48,791 : x
  2. Step 2: Convert to fraction form
    31,514/48,791 = 48,791/x
  3. Step 3: Cross multiply
    31,514x = 48,791 × 48,791
  4. Step 4: Simplify right side
    31,514x = 2,380,561,681
  5. Step 5: Solve for x
    x = 2,380,561,681/31,514
  6. Step 6: Final answer
    x = 75,539.81

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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.