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Finding the Third Proportional to 38,247.75 and 82,849.50

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Solution

The third proportional to 38,247.75 and 82,849.50 is: 179,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,247.75 : 82,849.50 = 82,849.50 : x
  2. Step 2: Convert to fraction form
    38,247.75/82,849.50 = 82,849.50/x
  3. Step 3: Cross multiply
    38,247.75x = 82,849.50 × 82,849.50
  4. Step 4: Simplify right side
    38,247.75x = 6,864,039,650.25
  5. Step 5: Solve for x
    x = 6,864,039,650.25/38,247.75
  6. Step 6: Final answer
    x = 179,462.57

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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.