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Finding the Third Proportional to 31,396 and 44,749

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Solution

The third proportional to 31,396 and 44,749 is: 63,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396 : 44,749 = 44,749 : x
  2. Step 2: Convert to fraction form
    31,396/44,749 = 44,749/x
  3. Step 3: Cross multiply
    31,396x = 44,749 × 44,749
  4. Step 4: Simplify right side
    31,396x = 2,002,473,001
  5. Step 5: Solve for x
    x = 2,002,473,001/31,396
  6. Step 6: Final answer
    x = 63,781.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.