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Finding the Third Proportional to 6,109 and 13,391

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Solution

The third proportional to 6,109 and 13,391 is: 29,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109 : 13,391 = 13,391 : x
  2. Step 2: Convert to fraction form
    6,109/13,391 = 13,391/x
  3. Step 3: Cross multiply
    6,109x = 13,391 × 13,391
  4. Step 4: Simplify right side
    6,109x = 179,318,881
  5. Step 5: Solve for x
    x = 179,318,881/6,109
  6. Step 6: Final answer
    x = 29,353.23

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Why These Related Problems?

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