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Finding the Third Proportional to 37,987.73 and 81,818.86

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Solution

The third proportional to 37,987.73 and 81,818.86 is: 176,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,987.73 : 81,818.86 = 81,818.86 : x
  2. Step 2: Convert to fraction form
    37,987.73/81,818.86 = 81,818.86/x
  3. Step 3: Cross multiply
    37,987.73x = 81,818.86 × 81,818.86
  4. Step 4: Simplify right side
    37,987.73x = 6,694,325,749.43
  5. Step 5: Solve for x
    x = 6,694,325,749.43/37,987.73
  6. Step 6: Final answer
    x = 176,223.35

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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.