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Finding the Third Proportional to 49,899 and 66,424.50

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Solution

The third proportional to 49,899 and 66,424.50 is: 88,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,899 : 66,424.50 = 66,424.50 : x
  2. Step 2: Convert to fraction form
    49,899/66,424.50 = 66,424.50/x
  3. Step 3: Cross multiply
    49,899x = 66,424.50 × 66,424.50
  4. Step 4: Simplify right side
    49,899x = 4,412,214,200.25
  5. Step 5: Solve for x
    x = 4,412,214,200.25/49,899
  6. Step 6: Final answer
    x = 88,422.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.