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Finding the Third Proportional to 27,575.25 and 36,978.75

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Solution

The third proportional to 27,575.25 and 36,978.75 is: 49,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.25 : 36,978.75 = 36,978.75 : x
  2. Step 2: Convert to fraction form
    27,575.25/36,978.75 = 36,978.75/x
  3. Step 3: Cross multiply
    27,575.25x = 36,978.75 × 36,978.75
  4. Step 4: Simplify right side
    27,575.25x = 1,367,427,951.56
  5. Step 5: Solve for x
    x = 1,367,427,951.56/27,575.25
  6. Step 6: Final answer
    x = 49,588.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.