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Finding the Third Proportional to 12,160 and 18,327

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Solution

The third proportional to 12,160 and 18,327 is: 27,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160 : 18,327 = 18,327 : x
  2. Step 2: Convert to fraction form
    12,160/18,327 = 18,327/x
  3. Step 3: Cross multiply
    12,160x = 18,327 × 18,327
  4. Step 4: Simplify right side
    12,160x = 335,878,929
  5. Step 5: Solve for x
    x = 335,878,929/12,160
  6. Step 6: Final answer
    x = 27,621.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.