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Finding the Third Proportional to 37,063.13 and 81,507.38

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Solution

The third proportional to 37,063.13 and 81,507.38 is: 179,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,063.13 : 81,507.38 = 81,507.38 : x
  2. Step 2: Convert to fraction form
    37,063.13/81,507.38 = 81,507.38/x
  3. Step 3: Cross multiply
    37,063.13x = 81,507.38 × 81,507.38
  4. Step 4: Simplify right side
    37,063.13x = 6,643,452,179.39
  5. Step 5: Solve for x
    x = 6,643,452,179.39/37,063.13
  6. Step 6: Final answer
    x = 179,246.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.