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Finding the Third Proportional to 37,411.88 and 81,857.25

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Solution

The third proportional to 37,411.88 and 81,857.25 is: 179,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411.88 : 81,857.25 = 81,857.25 : x
  2. Step 2: Convert to fraction form
    37,411.88/81,857.25 = 81,857.25/x
  3. Step 3: Cross multiply
    37,411.88x = 81,857.25 × 81,857.25
  4. Step 4: Simplify right side
    37,411.88x = 6,700,609,377.56
  5. Step 5: Solve for x
    x = 6,700,609,377.56/37,411.88
  6. Step 6: Final answer
    x = 179,103.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.