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Finding the Third Proportional to 33,822 and 48,987

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Solution

The third proportional to 33,822 and 48,987 is: 70,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,822 : 48,987 = 48,987 : x
  2. Step 2: Convert to fraction form
    33,822/48,987 = 48,987/x
  3. Step 3: Cross multiply
    33,822x = 48,987 × 48,987
  4. Step 4: Simplify right side
    33,822x = 2,399,726,169
  5. Step 5: Solve for x
    x = 2,399,726,169/33,822
  6. Step 6: Final answer
    x = 70,951.63

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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.