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Finding the Third Proportional to 13,874 and 18,596

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Solution

The third proportional to 13,874 and 18,596 is: 24,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874 : 18,596 = 18,596 : x
  2. Step 2: Convert to fraction form
    13,874/18,596 = 18,596/x
  3. Step 3: Cross multiply
    13,874x = 18,596 × 18,596
  4. Step 4: Simplify right side
    13,874x = 345,811,216
  5. Step 5: Solve for x
    x = 345,811,216/13,874
  6. Step 6: Final answer
    x = 24,925.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.