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Finding the Third Proportional to 31,787 and 44,461

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Solution

The third proportional to 31,787 and 44,461 is: 62,188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,787 : 44,461 = 44,461 : x
  2. Step 2: Convert to fraction form
    31,787/44,461 = 44,461/x
  3. Step 3: Cross multiply
    31,787x = 44,461 × 44,461
  4. Step 4: Simplify right side
    31,787x = 1,976,780,521
  5. Step 5: Solve for x
    x = 1,976,780,521/31,787
  6. Step 6: Final answer
    x = 62,188.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.