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Finding the Third Proportional to 49,331.53 and 76,881.66

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Solution

The third proportional to 49,331.53 and 76,881.66 is: 119,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,331.53 : 76,881.66 = 76,881.66 : x
  2. Step 2: Convert to fraction form
    49,331.53/76,881.66 = 76,881.66/x
  3. Step 3: Cross multiply
    49,331.53x = 76,881.66 × 76,881.66
  4. Step 4: Simplify right side
    49,331.53x = 5,910,789,067.74
  5. Step 5: Solve for x
    x = 5,910,789,067.74/49,331.53
  6. Step 6: Final answer
    x = 119,817.67

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Why These Related Problems?

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