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Finding the Third Proportional to 16,727 and 25,825

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Solution

The third proportional to 16,727 and 25,825 is: 39,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,727 : 25,825 = 25,825 : x
  2. Step 2: Convert to fraction form
    16,727/25,825 = 25,825/x
  3. Step 3: Cross multiply
    16,727x = 25,825 × 25,825
  4. Step 4: Simplify right side
    16,727x = 666,930,625
  5. Step 5: Solve for x
    x = 666,930,625/16,727
  6. Step 6: Final answer
    x = 39,871.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.