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Finding the Third Proportional to 31,839.75 and 44,539.88

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Solution

The third proportional to 31,839.75 and 44,539.88 is: 62,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839.75 : 44,539.88 = 44,539.88 : x
  2. Step 2: Convert to fraction form
    31,839.75/44,539.88 = 44,539.88/x
  3. Step 3: Cross multiply
    31,839.75x = 44,539.88 × 44,539.88
  4. Step 4: Simplify right side
    31,839.75x = 1,983,800,465.02
  5. Step 5: Solve for x
    x = 1,983,800,465.02/31,839.75
  6. Step 6: Final answer
    x = 62,305.78

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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.