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Finding the Third Proportional to 18,300 and 27,394

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Solution

The third proportional to 18,300 and 27,394 is: 41,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,300 : 27,394 = 27,394 : x
  2. Step 2: Convert to fraction form
    18,300/27,394 = 27,394/x
  3. Step 3: Cross multiply
    18,300x = 27,394 × 27,394
  4. Step 4: Simplify right side
    18,300x = 750,431,236
  5. Step 5: Solve for x
    x = 750,431,236/18,300
  6. Step 6: Final answer
    x = 41,007.17

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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.