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Finding the Third Proportional to 5,942.11 and 12,943.55

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Solution

The third proportional to 5,942.11 and 12,943.55 is: 28,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.11 : 12,943.55 = 12,943.55 : x
  2. Step 2: Convert to fraction form
    5,942.11/12,943.55 = 12,943.55/x
  3. Step 3: Cross multiply
    5,942.11x = 12,943.55 × 12,943.55
  4. Step 4: Simplify right side
    5,942.11x = 167,535,405.71
  5. Step 5: Solve for x
    x = 167,535,405.71/5,942.11
  6. Step 6: Final answer
    x = 28,194.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.