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Finding the Third Proportional to 26,706 and 38,682

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Solution

The third proportional to 26,706 and 38,682 is: 56,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706 : 38,682 = 38,682 : x
  2. Step 2: Convert to fraction form
    26,706/38,682 = 38,682/x
  3. Step 3: Cross multiply
    26,706x = 38,682 × 38,682
  4. Step 4: Simplify right side
    26,706x = 1,496,297,124
  5. Step 5: Solve for x
    x = 1,496,297,124/26,706
  6. Step 6: Final answer
    x = 56,028.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.