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Finding the Third Proportional to 38,844.50 and 83,353

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Solution

The third proportional to 38,844.50 and 83,353 is: 178,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,844.50 : 83,353 = 83,353 : x
  2. Step 2: Convert to fraction form
    38,844.50/83,353 = 83,353/x
  3. Step 3: Cross multiply
    38,844.50x = 83,353 × 83,353
  4. Step 4: Simplify right side
    38,844.50x = 6,947,722,609
  5. Step 5: Solve for x
    x = 6,947,722,609/38,844.50
  6. Step 6: Final answer
    x = 178,859.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.