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Finding the Third Proportional to 38,541 and 83,286

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Solution

The third proportional to 38,541 and 83,286 is: 179,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,541 : 83,286 = 83,286 : x
  2. Step 2: Convert to fraction form
    38,541/83,286 = 83,286/x
  3. Step 3: Cross multiply
    38,541x = 83,286 × 83,286
  4. Step 4: Simplify right side
    38,541x = 6,936,557,796
  5. Step 5: Solve for x
    x = 6,936,557,796/38,541
  6. Step 6: Final answer
    x = 179,978.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.