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Finding the Third Proportional to 18,788 and 27,638

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Solution

The third proportional to 18,788 and 27,638 is: 40,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,788 : 27,638 = 27,638 : x
  2. Step 2: Convert to fraction form
    18,788/27,638 = 27,638/x
  3. Step 3: Cross multiply
    18,788x = 27,638 × 27,638
  4. Step 4: Simplify right side
    18,788x = 763,859,044
  5. Step 5: Solve for x
    x = 763,859,044/18,788
  6. Step 6: Final answer
    x = 40,656.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.