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Finding the Third Proportional to 17,982 and 27,024

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Solution

The third proportional to 17,982 and 27,024 is: 40,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982 : 27,024 = 27,024 : x
  2. Step 2: Convert to fraction form
    17,982/27,024 = 27,024/x
  3. Step 3: Cross multiply
    17,982x = 27,024 × 27,024
  4. Step 4: Simplify right side
    17,982x = 730,296,576
  5. Step 5: Solve for x
    x = 730,296,576/17,982
  6. Step 6: Final answer
    x = 40,612.64

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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.