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Finding the Third Proportional to 48,147.75 and 72,367.13

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Solution

The third proportional to 48,147.75 and 72,367.13 is: 108,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,147.75 : 72,367.13 = 72,367.13 : x
  2. Step 2: Convert to fraction form
    48,147.75/72,367.13 = 72,367.13/x
  3. Step 3: Cross multiply
    48,147.75x = 72,367.13 × 72,367.13
  4. Step 4: Simplify right side
    48,147.75x = 5,237,000,780.77
  5. Step 5: Solve for x
    x = 5,237,000,780.77/48,147.75
  6. Step 6: Final answer
    x = 108,769.38

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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.