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Finding the Third Proportional to 13,009 and 27,638

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Solution

The third proportional to 13,009 and 27,638 is: 58,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009 : 27,638 = 27,638 : x
  2. Step 2: Convert to fraction form
    13,009/27,638 = 27,638/x
  3. Step 3: Cross multiply
    13,009x = 27,638 × 27,638
  4. Step 4: Simplify right side
    13,009x = 763,859,044
  5. Step 5: Solve for x
    x = 763,859,044/13,009
  6. Step 6: Final answer
    x = 58,717.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.