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Finding the Third Proportional to 16,337 and 25,214

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Solution

The third proportional to 16,337 and 25,214 is: 38,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337 : 25,214 = 25,214 : x
  2. Step 2: Convert to fraction form
    16,337/25,214 = 25,214/x
  3. Step 3: Cross multiply
    16,337x = 25,214 × 25,214
  4. Step 4: Simplify right side
    16,337x = 635,745,796
  5. Step 5: Solve for x
    x = 635,745,796/16,337
  6. Step 6: Final answer
    x = 38,914.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.