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Finding the Third Proportional to 13,862 and 22,173

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Solution

The third proportional to 13,862 and 22,173 is: 35,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862 : 22,173 = 22,173 : x
  2. Step 2: Convert to fraction form
    13,862/22,173 = 22,173/x
  3. Step 3: Cross multiply
    13,862x = 22,173 × 22,173
  4. Step 4: Simplify right side
    13,862x = 491,641,929
  5. Step 5: Solve for x
    x = 491,641,929/13,862
  6. Step 6: Final answer
    x = 35,466.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.