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Finding the Third Proportional to 37,439.44 and 81,439.88

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Solution

The third proportional to 37,439.44 and 81,439.88 is: 177,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,439.44 : 81,439.88 = 81,439.88 : x
  2. Step 2: Convert to fraction form
    37,439.44/81,439.88 = 81,439.88/x
  3. Step 3: Cross multiply
    37,439.44x = 81,439.88 × 81,439.88
  4. Step 4: Simplify right side
    37,439.44x = 6,632,453,240.02
  5. Step 5: Solve for x
    x = 6,632,453,240.02/37,439.44
  6. Step 6: Final answer
    x = 177,151.52

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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.