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Finding the Third Proportional to 18,345 and 27,508

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Solution

The third proportional to 18,345 and 27,508 is: 41,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,345 : 27,508 = 27,508 : x
  2. Step 2: Convert to fraction form
    18,345/27,508 = 27,508/x
  3. Step 3: Cross multiply
    18,345x = 27,508 × 27,508
  4. Step 4: Simplify right side
    18,345x = 756,690,064
  5. Step 5: Solve for x
    x = 756,690,064/18,345
  6. Step 6: Final answer
    x = 41,247.75

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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.