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Finding the Third Proportional to 36,124 and 49,216

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Solution

The third proportional to 36,124 and 49,216 is: 67,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,124 : 49,216 = 49,216 : x
  2. Step 2: Convert to fraction form
    36,124/49,216 = 49,216/x
  3. Step 3: Cross multiply
    36,124x = 49,216 × 49,216
  4. Step 4: Simplify right side
    36,124x = 2,422,214,656
  5. Step 5: Solve for x
    x = 2,422,214,656/36,124
  6. Step 6: Final answer
    x = 67,052.78

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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.