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Finding the Third Proportional to 36,612 and 49,726

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Solution

The third proportional to 36,612 and 49,726 is: 67,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,612 : 49,726 = 49,726 : x
  2. Step 2: Convert to fraction form
    36,612/49,726 = 49,726/x
  3. Step 3: Cross multiply
    36,612x = 49,726 × 49,726
  4. Step 4: Simplify right side
    36,612x = 2,472,675,076
  5. Step 5: Solve for x
    x = 2,472,675,076/36,612
  6. Step 6: Final answer
    x = 67,537.28

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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.