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Finding the Third Proportional to 9,591.86 and 20,767.01

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Solution

The third proportional to 9,591.86 and 20,767.01 is: 44,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.86 : 20,767.01 = 20,767.01 : x
  2. Step 2: Convert to fraction form
    9,591.86/20,767.01 = 20,767.01/x
  3. Step 3: Cross multiply
    9,591.86x = 20,767.01 × 20,767.01
  4. Step 4: Simplify right side
    9,591.86x = 431,268,613.48
  5. Step 5: Solve for x
    x = 431,268,613.48/9,591.86
  6. Step 6: Final answer
    x = 44,961.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.