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Finding the Third Proportional to 18,344 and 27,464

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Solution

The third proportional to 18,344 and 27,464 is: 41,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,344 : 27,464 = 27,464 : x
  2. Step 2: Convert to fraction form
    18,344/27,464 = 27,464/x
  3. Step 3: Cross multiply
    18,344x = 27,464 × 27,464
  4. Step 4: Simplify right side
    18,344x = 754,271,296
  5. Step 5: Solve for x
    x = 754,271,296/18,344
  6. Step 6: Final answer
    x = 41,118.15

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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.