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Finding the Third Proportional to 12,638 and 26,542

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Solution

The third proportional to 12,638 and 26,542 is: 55,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638 : 26,542 = 26,542 : x
  2. Step 2: Convert to fraction form
    12,638/26,542 = 26,542/x
  3. Step 3: Cross multiply
    12,638x = 26,542 × 26,542
  4. Step 4: Simplify right side
    12,638x = 704,477,764
  5. Step 5: Solve for x
    x = 704,477,764/12,638
  6. Step 6: Final answer
    x = 55,742.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.