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Finding the Third Proportional to 18,265 and 24,751

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Solution

The third proportional to 18,265 and 24,751 is: 33,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,265 : 24,751 = 24,751 : x
  2. Step 2: Convert to fraction form
    18,265/24,751 = 24,751/x
  3. Step 3: Cross multiply
    18,265x = 24,751 × 24,751
  4. Step 4: Simplify right side
    18,265x = 612,612,001
  5. Step 5: Solve for x
    x = 612,612,001/18,265
  6. Step 6: Final answer
    x = 33,540.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.