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Finding the Third Proportional to 37,427.06 and 81,149.34

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Solution

The third proportional to 37,427.06 and 81,149.34 is: 175,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,427.06 : 81,149.34 = 81,149.34 : x
  2. Step 2: Convert to fraction form
    37,427.06/81,149.34 = 81,149.34/x
  3. Step 3: Cross multiply
    37,427.06x = 81,149.34 × 81,149.34
  4. Step 4: Simplify right side
    37,427.06x = 6,585,215,991.06
  5. Step 5: Solve for x
    x = 6,585,215,991.06/37,427.06
  6. Step 6: Final answer
    x = 175,947.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.