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Finding the Third Proportional to 18,274 and 27,539

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Solution

The third proportional to 18,274 and 27,539 is: 41,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274 : 27,539 = 27,539 : x
  2. Step 2: Convert to fraction form
    18,274/27,539 = 27,539/x
  3. Step 3: Cross multiply
    18,274x = 27,539 × 27,539
  4. Step 4: Simplify right side
    18,274x = 758,396,521
  5. Step 5: Solve for x
    x = 758,396,521/18,274
  6. Step 6: Final answer
    x = 41,501.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.