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Finding the Third Proportional to 41,571 and 79,314.75

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Solution

The third proportional to 41,571 and 79,314.75 is: 151,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571 : 79,314.75 = 79,314.75 : x
  2. Step 2: Convert to fraction form
    41,571/79,314.75 = 79,314.75/x
  3. Step 3: Cross multiply
    41,571x = 79,314.75 × 79,314.75
  4. Step 4: Simplify right side
    41,571x = 6,290,829,567.56
  5. Step 5: Solve for x
    x = 6,290,829,567.56/41,571
  6. Step 6: Final answer
    x = 151,327.36

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.