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Finding the Third Proportional to 12,257 and 18,382

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Solution

The third proportional to 12,257 and 18,382 is: 27,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257 : 18,382 = 18,382 : x
  2. Step 2: Convert to fraction form
    12,257/18,382 = 18,382/x
  3. Step 3: Cross multiply
    12,257x = 18,382 × 18,382
  4. Step 4: Simplify right side
    12,257x = 337,897,924
  5. Step 5: Solve for x
    x = 337,897,924/12,257
  6. Step 6: Final answer
    x = 27,567.75

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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.