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Finding the Third Proportional to 2,536 and 5,327

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Solution

The third proportional to 2,536 and 5,327 is: 11,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536 : 5,327 = 5,327 : x
  2. Step 2: Convert to fraction form
    2,536/5,327 = 5,327/x
  3. Step 3: Cross multiply
    2,536x = 5,327 × 5,327
  4. Step 4: Simplify right side
    2,536x = 28,376,929
  5. Step 5: Solve for x
    x = 28,376,929/2,536
  6. Step 6: Final answer
    x = 11,189.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.