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Finding the Third Proportional to 49,177.50 and 73,814.25

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Solution

The third proportional to 49,177.50 and 73,814.25 is: 110,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,177.50 : 73,814.25 = 73,814.25 : x
  2. Step 2: Convert to fraction form
    49,177.50/73,814.25 = 73,814.25/x
  3. Step 3: Cross multiply
    49,177.50x = 73,814.25 × 73,814.25
  4. Step 4: Simplify right side
    49,177.50x = 5,448,543,503.06
  5. Step 5: Solve for x
    x = 5,448,543,503.06/49,177.50
  6. Step 6: Final answer
    x = 110,793.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.