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Finding the Third Proportional to 16,081 and 25,579

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Solution

The third proportional to 16,081 and 25,579 is: 40,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081 : 25,579 = 25,579 : x
  2. Step 2: Convert to fraction form
    16,081/25,579 = 25,579/x
  3. Step 3: Cross multiply
    16,081x = 25,579 × 25,579
  4. Step 4: Simplify right side
    16,081x = 654,285,241
  5. Step 5: Solve for x
    x = 654,285,241/16,081
  6. Step 6: Final answer
    x = 40,686.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.