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Finding the Third Proportional to 37,867.50 and 80,655.75

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Solution

The third proportional to 37,867.50 and 80,655.75 is: 171,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,867.50 : 80,655.75 = 80,655.75 : x
  2. Step 2: Convert to fraction form
    37,867.50/80,655.75 = 80,655.75/x
  3. Step 3: Cross multiply
    37,867.50x = 80,655.75 × 80,655.75
  4. Step 4: Simplify right side
    37,867.50x = 6,505,350,008.06
  5. Step 5: Solve for x
    x = 6,505,350,008.06/37,867.50
  6. Step 6: Final answer
    x = 171,792.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.