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Finding the Third Proportional to 15,304 and 20,167

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Solution

The third proportional to 15,304 and 20,167 is: 26,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304 : 20,167 = 20,167 : x
  2. Step 2: Convert to fraction form
    15,304/20,167 = 20,167/x
  3. Step 3: Cross multiply
    15,304x = 20,167 × 20,167
  4. Step 4: Simplify right side
    15,304x = 406,707,889
  5. Step 5: Solve for x
    x = 406,707,889/15,304
  6. Step 6: Final answer
    x = 26,575.27

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.