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Finding the Third Proportional to 38,676 and 84,720

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Solution

The third proportional to 38,676 and 84,720 is: 185,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,676 : 84,720 = 84,720 : x
  2. Step 2: Convert to fraction form
    38,676/84,720 = 84,720/x
  3. Step 3: Cross multiply
    38,676x = 84,720 × 84,720
  4. Step 4: Simplify right side
    38,676x = 7,177,478,400
  5. Step 5: Solve for x
    x = 7,177,478,400/38,676
  6. Step 6: Final answer
    x = 185,579.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.