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Finding the Third Proportional to 13,867 and 19,594

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Solution

The third proportional to 13,867 and 19,594 is: 27,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867 : 19,594 = 19,594 : x
  2. Step 2: Convert to fraction form
    13,867/19,594 = 19,594/x
  3. Step 3: Cross multiply
    13,867x = 19,594 × 19,594
  4. Step 4: Simplify right side
    13,867x = 383,924,836
  5. Step 5: Solve for x
    x = 383,924,836/13,867
  6. Step 6: Final answer
    x = 27,686.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.