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Finding the Third Proportional to 36,601 and 49,716

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Solution

The third proportional to 36,601 and 49,716 is: 67,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,601 : 49,716 = 49,716 : x
  2. Step 2: Convert to fraction form
    36,601/49,716 = 49,716/x
  3. Step 3: Cross multiply
    36,601x = 49,716 × 49,716
  4. Step 4: Simplify right side
    36,601x = 2,471,680,656
  5. Step 5: Solve for x
    x = 2,471,680,656/36,601
  6. Step 6: Final answer
    x = 67,530.41

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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.