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Finding the Third Proportional to 37,215.75 and 80,262.75

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Solution

The third proportional to 37,215.75 and 80,262.75 is: 173,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,215.75 : 80,262.75 = 80,262.75 : x
  2. Step 2: Convert to fraction form
    37,215.75/80,262.75 = 80,262.75/x
  3. Step 3: Cross multiply
    37,215.75x = 80,262.75 × 80,262.75
  4. Step 4: Simplify right side
    37,215.75x = 6,442,109,037.56
  5. Step 5: Solve for x
    x = 6,442,109,037.56/37,215.75
  6. Step 6: Final answer
    x = 173,101.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.