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Finding the Third Proportional to 16,084 and 25,593

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Solution

The third proportional to 16,084 and 25,593 is: 40,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084 : 25,593 = 25,593 : x
  2. Step 2: Convert to fraction form
    16,084/25,593 = 25,593/x
  3. Step 3: Cross multiply
    16,084x = 25,593 × 25,593
  4. Step 4: Simplify right side
    16,084x = 655,001,649
  5. Step 5: Solve for x
    x = 655,001,649/16,084
  6. Step 6: Final answer
    x = 40,723.80

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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.