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Finding the Third Proportional to 3,162.16 and 6,939.42

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Solution

The third proportional to 3,162.16 and 6,939.42 is: 15,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.16 : 6,939.42 = 6,939.42 : x
  2. Step 2: Convert to fraction form
    3,162.16/6,939.42 = 6,939.42/x
  3. Step 3: Cross multiply
    3,162.16x = 6,939.42 × 6,939.42
  4. Step 4: Simplify right side
    3,162.16x = 48,155,575.96
  5. Step 5: Solve for x
    x = 48,155,575.96/3,162.16
  6. Step 6: Final answer
    x = 15,228.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.