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Finding the Third Proportional to 5,005 and 11,599

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Solution

The third proportional to 5,005 and 11,599 is: 26,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005 : 11,599 = 11,599 : x
  2. Step 2: Convert to fraction form
    5,005/11,599 = 11,599/x
  3. Step 3: Cross multiply
    5,005x = 11,599 × 11,599
  4. Step 4: Simplify right side
    5,005x = 134,536,801
  5. Step 5: Solve for x
    x = 134,536,801/5,005
  6. Step 6: Final answer
    x = 26,880.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.