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Finding the Third Proportional to 33,650 and 48,908

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Solution

The third proportional to 33,650 and 48,908 is: 71,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,650 : 48,908 = 48,908 : x
  2. Step 2: Convert to fraction form
    33,650/48,908 = 48,908/x
  3. Step 3: Cross multiply
    33,650x = 48,908 × 48,908
  4. Step 4: Simplify right side
    33,650x = 2,391,992,464
  5. Step 5: Solve for x
    x = 2,391,992,464/33,650
  6. Step 6: Final answer
    x = 71,084.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.