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Finding the Third Proportional to 31,074 and 47,188

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Solution

The third proportional to 31,074 and 47,188 is: 71,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074 : 47,188 = 47,188 : x
  2. Step 2: Convert to fraction form
    31,074/47,188 = 47,188/x
  3. Step 3: Cross multiply
    31,074x = 47,188 × 47,188
  4. Step 4: Simplify right side
    31,074x = 2,226,707,344
  5. Step 5: Solve for x
    x = 2,226,707,344/31,074
  6. Step 6: Final answer
    x = 71,658.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.