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Finding the Third Proportional to 10,638 and 16,837

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Solution

The third proportional to 10,638 and 16,837 is: 26,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638 : 16,837 = 16,837 : x
  2. Step 2: Convert to fraction form
    10,638/16,837 = 16,837/x
  3. Step 3: Cross multiply
    10,638x = 16,837 × 16,837
  4. Step 4: Simplify right side
    10,638x = 283,484,569
  5. Step 5: Solve for x
    x = 283,484,569/10,638
  6. Step 6: Final answer
    x = 26,648.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.