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Finding the Third Proportional to 37,439.25 and 81,439.13

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Solution

The third proportional to 37,439.25 and 81,439.13 is: 177,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,439.25 : 81,439.13 = 81,439.13 : x
  2. Step 2: Convert to fraction form
    37,439.25/81,439.13 = 81,439.13/x
  3. Step 3: Cross multiply
    37,439.25x = 81,439.13 × 81,439.13
  4. Step 4: Simplify right side
    37,439.25x = 6,632,331,080.77
  5. Step 5: Solve for x
    x = 6,632,331,080.77/37,439.25
  6. Step 6: Final answer
    x = 177,149.14

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Why These Related Problems?

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