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Finding the Third Proportional to 38,614.22 and 90,213.75

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Solution

The third proportional to 38,614.22 and 90,213.75 is: 210,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614.22 : 90,213.75 = 90,213.75 : x
  2. Step 2: Convert to fraction form
    38,614.22/90,213.75 = 90,213.75/x
  3. Step 3: Cross multiply
    38,614.22x = 90,213.75 × 90,213.75
  4. Step 4: Simplify right side
    38,614.22x = 8,138,520,689.06
  5. Step 5: Solve for x
    x = 8,138,520,689.06/38,614.22
  6. Step 6: Final answer
    x = 210,764.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.