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Finding the Third Proportional to 31,422 and 48,592

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Solution

The third proportional to 31,422 and 48,592 is: 75,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422 : 48,592 = 48,592 : x
  2. Step 2: Convert to fraction form
    31,422/48,592 = 48,592/x
  3. Step 3: Cross multiply
    31,422x = 48,592 × 48,592
  4. Step 4: Simplify right side
    31,422x = 2,361,182,464
  5. Step 5: Solve for x
    x = 2,361,182,464/31,422
  6. Step 6: Final answer
    x = 75,144.24

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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.