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Finding the Third Proportional to 2,358 and 5,327

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Solution

The third proportional to 2,358 and 5,327 is: 12,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358 : 5,327 = 5,327 : x
  2. Step 2: Convert to fraction form
    2,358/5,327 = 5,327/x
  3. Step 3: Cross multiply
    2,358x = 5,327 × 5,327
  4. Step 4: Simplify right side
    2,358x = 28,376,929
  5. Step 5: Solve for x
    x = 28,376,929/2,358
  6. Step 6: Final answer
    x = 12,034.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.