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Finding the Third Proportional to 31,496 and 50,748

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Solution

The third proportional to 31,496 and 50,748 is: 81,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496 : 50,748 = 50,748 : x
  2. Step 2: Convert to fraction form
    31,496/50,748 = 50,748/x
  3. Step 3: Cross multiply
    31,496x = 50,748 × 50,748
  4. Step 4: Simplify right side
    31,496x = 2,575,359,504
  5. Step 5: Solve for x
    x = 2,575,359,504/31,496
  6. Step 6: Final answer
    x = 81,767.83

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.