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Finding the Third Proportional to 13,862 and 16,274

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Solution

The third proportional to 13,862 and 16,274 is: 19,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862 : 16,274 = 16,274 : x
  2. Step 2: Convert to fraction form
    13,862/16,274 = 16,274/x
  3. Step 3: Cross multiply
    13,862x = 16,274 × 16,274
  4. Step 4: Simplify right side
    13,862x = 264,843,076
  5. Step 5: Solve for x
    x = 264,843,076/13,862
  6. Step 6: Final answer
    x = 19,105.69

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.