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Finding the Third Proportional to 36,544 and 49,524

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Solution

The third proportional to 36,544 and 49,524 is: 67,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,544 : 49,524 = 49,524 : x
  2. Step 2: Convert to fraction form
    36,544/49,524 = 49,524/x
  3. Step 3: Cross multiply
    36,544x = 49,524 × 49,524
  4. Step 4: Simplify right side
    36,544x = 2,452,626,576
  5. Step 5: Solve for x
    x = 2,452,626,576/36,544
  6. Step 6: Final answer
    x = 67,114.34

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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.