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Finding the Third Proportional to 7,755.75 and 12,327

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Solution

The third proportional to 7,755.75 and 12,327 is: 19,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.75 : 12,327 = 12,327 : x
  2. Step 2: Convert to fraction form
    7,755.75/12,327 = 12,327/x
  3. Step 3: Cross multiply
    7,755.75x = 12,327 × 12,327
  4. Step 4: Simplify right side
    7,755.75x = 151,954,929
  5. Step 5: Solve for x
    x = 151,954,929/7,755.75
  6. Step 6: Final answer
    x = 19,592.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.