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Finding the Third Proportional to 37,275.19 and 80,493.75

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Solution

The third proportional to 37,275.19 and 80,493.75 is: 173,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,275.19 : 80,493.75 = 80,493.75 : x
  2. Step 2: Convert to fraction form
    37,275.19/80,493.75 = 80,493.75/x
  3. Step 3: Cross multiply
    37,275.19x = 80,493.75 × 80,493.75
  4. Step 4: Simplify right side
    37,275.19x = 6,479,243,789.06
  5. Step 5: Solve for x
    x = 6,479,243,789.06/37,275.19
  6. Step 6: Final answer
    x = 173,821.90

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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.