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Finding the Third Proportional to 6,514 and 15,371

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Solution

The third proportional to 6,514 and 15,371 is: 36,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514 : 15,371 = 15,371 : x
  2. Step 2: Convert to fraction form
    6,514/15,371 = 15,371/x
  3. Step 3: Cross multiply
    6,514x = 15,371 × 15,371
  4. Step 4: Simplify right side
    6,514x = 236,267,641
  5. Step 5: Solve for x
    x = 236,267,641/6,514
  6. Step 6: Final answer
    x = 36,270.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.