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Finding the Third Proportional to 41,649.75 and 91,590.75

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Solution

The third proportional to 41,649.75 and 91,590.75 is: 201,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,649.75 : 91,590.75 = 91,590.75 : x
  2. Step 2: Convert to fraction form
    41,649.75/91,590.75 = 91,590.75/x
  3. Step 3: Cross multiply
    41,649.75x = 91,590.75 × 91,590.75
  4. Step 4: Simplify right side
    41,649.75x = 8,388,865,485.56
  5. Step 5: Solve for x
    x = 8,388,865,485.56/41,649.75
  6. Step 6: Final answer
    x = 201,414.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.