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Finding the Third Proportional to 17,718 and 27,047

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Solution

The third proportional to 17,718 and 27,047 is: 41,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718 : 27,047 = 27,047 : x
  2. Step 2: Convert to fraction form
    17,718/27,047 = 27,047/x
  3. Step 3: Cross multiply
    17,718x = 27,047 × 27,047
  4. Step 4: Simplify right side
    17,718x = 731,540,209
  5. Step 5: Solve for x
    x = 731,540,209/17,718
  6. Step 6: Final answer
    x = 41,287.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.