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Finding the Third Proportional to 31,335.75 and 48,909.38

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Solution

The third proportional to 31,335.75 and 48,909.38 is: 76,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.75 : 48,909.38 = 48,909.38 : x
  2. Step 2: Convert to fraction form
    31,335.75/48,909.38 = 48,909.38/x
  3. Step 3: Cross multiply
    31,335.75x = 48,909.38 × 48,909.38
  4. Step 4: Simplify right side
    31,335.75x = 2,392,126,962.89
  5. Step 5: Solve for x
    x = 2,392,126,962.89/31,335.75
  6. Step 6: Final answer
    x = 76,338.59

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.