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Finding the Third Proportional to 27,327 and 40,991

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Solution

The third proportional to 27,327 and 40,991 is: 61,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,327 : 40,991 = 40,991 : x
  2. Step 2: Convert to fraction form
    27,327/40,991 = 40,991/x
  3. Step 3: Cross multiply
    27,327x = 40,991 × 40,991
  4. Step 4: Simplify right side
    27,327x = 1,680,262,081
  5. Step 5: Solve for x
    x = 1,680,262,081/27,327
  6. Step 6: Final answer
    x = 61,487.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.