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Finding the Third Proportional to 3,134 and 7,103

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Solution

The third proportional to 3,134 and 7,103 is: 16,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134 : 7,103 = 7,103 : x
  2. Step 2: Convert to fraction form
    3,134/7,103 = 7,103/x
  3. Step 3: Cross multiply
    3,134x = 7,103 × 7,103
  4. Step 4: Simplify right side
    3,134x = 50,452,609
  5. Step 5: Solve for x
    x = 50,452,609/3,134
  6. Step 6: Final answer
    x = 16,098.47

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.