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Finding the Third Proportional to 37,467.56 and 81,545.06

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Solution

The third proportional to 37,467.56 and 81,545.06 is: 177,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,467.56 : 81,545.06 = 81,545.06 : x
  2. Step 2: Convert to fraction form
    37,467.56/81,545.06 = 81,545.06/x
  3. Step 3: Cross multiply
    37,467.56x = 81,545.06 × 81,545.06
  4. Step 4: Simplify right side
    37,467.56x = 6,649,597,218.13
  5. Step 5: Solve for x
    x = 6,649,597,218.13/37,467.56
  6. Step 6: Final answer
    x = 177,476.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.