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Finding the Third Proportional to 37,451 and 81,514.75

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Solution

The third proportional to 37,451 and 81,514.75 is: 177,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,451 : 81,514.75 = 81,514.75 : x
  2. Step 2: Convert to fraction form
    37,451/81,514.75 = 81,514.75/x
  3. Step 3: Cross multiply
    37,451x = 81,514.75 × 81,514.75
  4. Step 4: Simplify right side
    37,451x = 6,644,654,467.56
  5. Step 5: Solve for x
    x = 6,644,654,467.56/37,451
  6. Step 6: Final answer
    x = 177,422.62

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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.