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Finding the Third Proportional to 13,614.75 and 36,978.75

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Solution

The third proportional to 13,614.75 and 36,978.75 is: 100,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.75 : 36,978.75 = 36,978.75 : x
  2. Step 2: Convert to fraction form
    13,614.75/36,978.75 = 36,978.75/x
  3. Step 3: Cross multiply
    13,614.75x = 36,978.75 × 36,978.75
  4. Step 4: Simplify right side
    13,614.75x = 1,367,427,951.56
  5. Step 5: Solve for x
    x = 1,367,427,951.56/13,614.75
  6. Step 6: Final answer
    x = 100,437.24

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.