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Finding the Third Proportional to 42,286.50 and 91,863

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Solution

The third proportional to 42,286.50 and 91,863 is: 199,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,286.50 : 91,863 = 91,863 : x
  2. Step 2: Convert to fraction form
    42,286.50/91,863 = 91,863/x
  3. Step 3: Cross multiply
    42,286.50x = 91,863 × 91,863
  4. Step 4: Simplify right side
    42,286.50x = 8,438,810,769
  5. Step 5: Solve for x
    x = 8,438,810,769/42,286.50
  6. Step 6: Final answer
    x = 199,562.76

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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.