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Finding the Third Proportional to 18,324 and 27,566

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Solution

The third proportional to 18,324 and 27,566 is: 41,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324 : 27,566 = 27,566 : x
  2. Step 2: Convert to fraction form
    18,324/27,566 = 27,566/x
  3. Step 3: Cross multiply
    18,324x = 27,566 × 27,566
  4. Step 4: Simplify right side
    18,324x = 759,884,356
  5. Step 5: Solve for x
    x = 759,884,356/18,324
  6. Step 6: Final answer
    x = 41,469.35

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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.