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Finding the Third Proportional to 36,332.25 and 49,314

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Solution

The third proportional to 36,332.25 and 49,314 is: 66,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,332.25 : 49,314 = 49,314 : x
  2. Step 2: Convert to fraction form
    36,332.25/49,314 = 49,314/x
  3. Step 3: Cross multiply
    36,332.25x = 49,314 × 49,314
  4. Step 4: Simplify right side
    36,332.25x = 2,431,870,596
  5. Step 5: Solve for x
    x = 2,431,870,596/36,332.25
  6. Step 6: Final answer
    x = 66,934.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.