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Finding the Third Proportional to 41,027.50 and 96,595

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Solution

The third proportional to 41,027.50 and 96,595 is: 227,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,027.50 : 96,595 = 96,595 : x
  2. Step 2: Convert to fraction form
    41,027.50/96,595 = 96,595/x
  3. Step 3: Cross multiply
    41,027.50x = 96,595 × 96,595
  4. Step 4: Simplify right side
    41,027.50x = 9,330,594,025
  5. Step 5: Solve for x
    x = 9,330,594,025/41,027.50
  6. Step 6: Final answer
    x = 227,422.92

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.