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Finding the Third Proportional to 36,562 and 49,544

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Solution

The third proportional to 36,562 and 49,544 is: 67,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,562 : 49,544 = 49,544 : x
  2. Step 2: Convert to fraction form
    36,562/49,544 = 49,544/x
  3. Step 3: Cross multiply
    36,562x = 49,544 × 49,544
  4. Step 4: Simplify right side
    36,562x = 2,454,607,936
  5. Step 5: Solve for x
    x = 2,454,607,936/36,562
  6. Step 6: Final answer
    x = 67,135.49

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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.