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Finding the Third Proportional to 38,845 and 83,354

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Solution

The third proportional to 38,845 and 83,354 is: 178,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,845 : 83,354 = 83,354 : x
  2. Step 2: Convert to fraction form
    38,845/83,354 = 83,354/x
  3. Step 3: Cross multiply
    38,845x = 83,354 × 83,354
  4. Step 4: Simplify right side
    38,845x = 6,947,889,316
  5. Step 5: Solve for x
    x = 6,947,889,316/38,845
  6. Step 6: Final answer
    x = 178,861.87

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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.