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Finding the Third Proportional to 31,934 and 48,344

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Solution

The third proportional to 31,934 and 48,344 is: 73,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,934 : 48,344 = 48,344 : x
  2. Step 2: Convert to fraction form
    31,934/48,344 = 48,344/x
  3. Step 3: Cross multiply
    31,934x = 48,344 × 48,344
  4. Step 4: Simplify right side
    31,934x = 2,337,142,336
  5. Step 5: Solve for x
    x = 2,337,142,336/31,934
  6. Step 6: Final answer
    x = 73,186.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.