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Finding the Third Proportional to 12,521 and 18,782

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Solution

The third proportional to 12,521 and 18,782 is: 28,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521 : 18,782 = 18,782 : x
  2. Step 2: Convert to fraction form
    12,521/18,782 = 18,782/x
  3. Step 3: Cross multiply
    12,521x = 18,782 × 18,782
  4. Step 4: Simplify right side
    12,521x = 352,763,524
  5. Step 5: Solve for x
    x = 352,763,524/12,521
  6. Step 6: Final answer
    x = 28,173.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.