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Finding the Third Proportional to 36,338 and 48,832

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Solution

The third proportional to 36,338 and 48,832 is: 65,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,338 : 48,832 = 48,832 : x
  2. Step 2: Convert to fraction form
    36,338/48,832 = 48,832/x
  3. Step 3: Cross multiply
    36,338x = 48,832 × 48,832
  4. Step 4: Simplify right side
    36,338x = 2,384,564,224
  5. Step 5: Solve for x
    x = 2,384,564,224/36,338
  6. Step 6: Final answer
    x = 65,621.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.