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Finding the Third Proportional to 6,331 and 10,103

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Solution

The third proportional to 6,331 and 10,103 is: 16,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331 : 10,103 = 10,103 : x
  2. Step 2: Convert to fraction form
    6,331/10,103 = 10,103/x
  3. Step 3: Cross multiply
    6,331x = 10,103 × 10,103
  4. Step 4: Simplify right side
    6,331x = 102,070,609
  5. Step 5: Solve for x
    x = 102,070,609/6,331
  6. Step 6: Final answer
    x = 16,122.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.