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Finding the Third Proportional to 33,614 and 48,844

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Solution

The third proportional to 33,614 and 48,844 is: 70,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,614 : 48,844 = 48,844 : x
  2. Step 2: Convert to fraction form
    33,614/48,844 = 48,844/x
  3. Step 3: Cross multiply
    33,614x = 48,844 × 48,844
  4. Step 4: Simplify right side
    33,614x = 2,385,736,336
  5. Step 5: Solve for x
    x = 2,385,736,336/33,614
  6. Step 6: Final answer
    x = 70,974.48

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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.