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Finding the Third Proportional to 36,366 and 48,869

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Solution

The third proportional to 36,366 and 48,869 is: 65,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,366 : 48,869 = 48,869 : x
  2. Step 2: Convert to fraction form
    36,366/48,869 = 48,869/x
  3. Step 3: Cross multiply
    36,366x = 48,869 × 48,869
  4. Step 4: Simplify right side
    36,366x = 2,388,179,161
  5. Step 5: Solve for x
    x = 2,388,179,161/36,366
  6. Step 6: Final answer
    x = 65,670.66

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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.