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Finding the Third Proportional to 51,834.50 and 95,882

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Solution

The third proportional to 51,834.50 and 95,882 is: 177,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,834.50 : 95,882 = 95,882 : x
  2. Step 2: Convert to fraction form
    51,834.50/95,882 = 95,882/x
  3. Step 3: Cross multiply
    51,834.50x = 95,882 × 95,882
  4. Step 4: Simplify right side
    51,834.50x = 9,193,357,924
  5. Step 5: Solve for x
    x = 9,193,357,924/51,834.50
  6. Step 6: Final answer
    x = 177,359.83

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.