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Finding the Third Proportional to 39,332.25 and 87,545.25

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Solution

The third proportional to 39,332.25 and 87,545.25 is: 194,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,332.25 : 87,545.25 = 87,545.25 : x
  2. Step 2: Convert to fraction form
    39,332.25/87,545.25 = 87,545.25/x
  3. Step 3: Cross multiply
    39,332.25x = 87,545.25 × 87,545.25
  4. Step 4: Simplify right side
    39,332.25x = 7,664,170,797.56
  5. Step 5: Solve for x
    x = 7,664,170,797.56/39,332.25
  6. Step 6: Final answer
    x = 194,857.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.