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Finding the Third Proportional to 49,747.50 and 77,031

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Solution

The third proportional to 49,747.50 and 77,031 is: 119,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,747.50 : 77,031 = 77,031 : x
  2. Step 2: Convert to fraction form
    49,747.50/77,031 = 77,031/x
  3. Step 3: Cross multiply
    49,747.50x = 77,031 × 77,031
  4. Step 4: Simplify right side
    49,747.50x = 5,933,774,961
  5. Step 5: Solve for x
    x = 5,933,774,961/49,747.50
  6. Step 6: Final answer
    x = 119,277.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.