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Finding the Third Proportional to 6,103 and 13,609

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Solution

The third proportional to 6,103 and 13,609 is: 30,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103 : 13,609 = 13,609 : x
  2. Step 2: Convert to fraction form
    6,103/13,609 = 13,609/x
  3. Step 3: Cross multiply
    6,103x = 13,609 × 13,609
  4. Step 4: Simplify right side
    6,103x = 185,204,881
  5. Step 5: Solve for x
    x = 185,204,881/6,103
  6. Step 6: Final answer
    x = 30,346.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.