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Finding the Third Proportional to 37,987.88 and 81,514.13

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Solution

The third proportional to 37,987.88 and 81,514.13 is: 174,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,987.88 : 81,514.13 = 81,514.13 : x
  2. Step 2: Convert to fraction form
    37,987.88/81,514.13 = 81,514.13/x
  3. Step 3: Cross multiply
    37,987.88x = 81,514.13 × 81,514.13
  4. Step 4: Simplify right side
    37,987.88x = 6,644,552,574.52
  5. Step 5: Solve for x
    x = 6,644,552,574.52/37,987.88
  6. Step 6: Final answer
    x = 174,912.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.