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Finding the Third Proportional to 37,459.97 and 80,250.75

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Solution

The third proportional to 37,459.97 and 80,250.75 is: 171,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,459.97 : 80,250.75 = 80,250.75 : x
  2. Step 2: Convert to fraction form
    37,459.97/80,250.75 = 80,250.75/x
  3. Step 3: Cross multiply
    37,459.97x = 80,250.75 × 80,250.75
  4. Step 4: Simplify right side
    37,459.97x = 6,440,182,875.56
  5. Step 5: Solve for x
    x = 6,440,182,875.56/37,459.97
  6. Step 6: Final answer
    x = 171,921.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.