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Finding the Third Proportional to 17,775 and 41,149.50

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Solution

The third proportional to 17,775 and 41,149.50 is: 95,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775 : 41,149.50 = 41,149.50 : x
  2. Step 2: Convert to fraction form
    17,775/41,149.50 = 41,149.50/x
  3. Step 3: Cross multiply
    17,775x = 41,149.50 × 41,149.50
  4. Step 4: Simplify right side
    17,775x = 1,693,281,350.25
  5. Step 5: Solve for x
    x = 1,693,281,350.25/17,775
  6. Step 6: Final answer
    x = 95,261.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.