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Finding the Third Proportional to 38,247.50 and 82,849

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Solution

The third proportional to 38,247.50 and 82,849 is: 179,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,247.50 : 82,849 = 82,849 : x
  2. Step 2: Convert to fraction form
    38,247.50/82,849 = 82,849/x
  3. Step 3: Cross multiply
    38,247.50x = 82,849 × 82,849
  4. Step 4: Simplify right side
    38,247.50x = 6,863,956,801
  5. Step 5: Solve for x
    x = 6,863,956,801/38,247.50
  6. Step 6: Final answer
    x = 179,461.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.