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Finding the Third Proportional to 14,442 and 32,163

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Solution

The third proportional to 14,442 and 32,163 is: 71,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442 : 32,163 = 32,163 : x
  2. Step 2: Convert to fraction form
    14,442/32,163 = 32,163/x
  3. Step 3: Cross multiply
    14,442x = 32,163 × 32,163
  4. Step 4: Simplify right side
    14,442x = 1,034,458,569
  5. Step 5: Solve for x
    x = 1,034,458,569/14,442
  6. Step 6: Final answer
    x = 71,628.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.