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Finding the Third Proportional to 37,488.66 and 81,332.44

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Solution

The third proportional to 37,488.66 and 81,332.44 is: 176,452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,488.66 : 81,332.44 = 81,332.44 : x
  2. Step 2: Convert to fraction form
    37,488.66/81,332.44 = 81,332.44/x
  3. Step 3: Cross multiply
    37,488.66x = 81,332.44 × 81,332.44
  4. Step 4: Simplify right side
    37,488.66x = 6,614,965,389.69
  5. Step 5: Solve for x
    x = 6,614,965,389.69/37,488.66
  6. Step 6: Final answer
    x = 176,452.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.