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Finding the Third Proportional to 15,644 and 23,853

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Solution

The third proportional to 15,644 and 23,853 is: 36,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644 : 23,853 = 23,853 : x
  2. Step 2: Convert to fraction form
    15,644/23,853 = 23,853/x
  3. Step 3: Cross multiply
    15,644x = 23,853 × 23,853
  4. Step 4: Simplify right side
    15,644x = 568,965,609
  5. Step 5: Solve for x
    x = 568,965,609/15,644
  6. Step 6: Final answer
    x = 36,369.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.