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Finding the Third Proportional to 40,375.14 and 87,746.97

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Solution

The third proportional to 40,375.14 and 87,746.97 is: 190,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,375.14 : 87,746.97 = 87,746.97 : x
  2. Step 2: Convert to fraction form
    40,375.14/87,746.97 = 87,746.97/x
  3. Step 3: Cross multiply
    40,375.14x = 87,746.97 × 87,746.97
  4. Step 4: Simplify right side
    40,375.14x = 7,699,530,353.43
  5. Step 5: Solve for x
    x = 7,699,530,353.43/40,375.14
  6. Step 6: Final answer
    x = 190,699.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.