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Finding the Third Proportional to 6,191.78 and 12,080.83

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Solution

The third proportional to 6,191.78 and 12,080.83 is: 23,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.78 : 12,080.83 = 12,080.83 : x
  2. Step 2: Convert to fraction form
    6,191.78/12,080.83 = 12,080.83/x
  3. Step 3: Cross multiply
    6,191.78x = 12,080.83 × 12,080.83
  4. Step 4: Simplify right side
    6,191.78x = 145,946,349.20
  5. Step 5: Solve for x
    x = 145,946,349.20/6,191.78
  6. Step 6: Final answer
    x = 23,570.97

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.