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Finding the Third Proportional to 18,324 and 27,438

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Solution

The third proportional to 18,324 and 27,438 is: 41,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324 : 27,438 = 27,438 : x
  2. Step 2: Convert to fraction form
    18,324/27,438 = 27,438/x
  3. Step 3: Cross multiply
    18,324x = 27,438 × 27,438
  4. Step 4: Simplify right side
    18,324x = 752,843,844
  5. Step 5: Solve for x
    x = 752,843,844/18,324
  6. Step 6: Final answer
    x = 41,085.13

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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.