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Finding the Third Proportional to 3,427 and 7,195

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Solution

The third proportional to 3,427 and 7,195 is: 15,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427 : 7,195 = 7,195 : x
  2. Step 2: Convert to fraction form
    3,427/7,195 = 7,195/x
  3. Step 3: Cross multiply
    3,427x = 7,195 × 7,195
  4. Step 4: Simplify right side
    3,427x = 51,768,025
  5. Step 5: Solve for x
    x = 51,768,025/3,427
  6. Step 6: Final answer
    x = 15,105.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.