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Finding the Third Proportional to 12,546 and 18,374

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Solution

The third proportional to 12,546 and 18,374 is: 26,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 18,374 = 18,374 : x
  2. Step 2: Convert to fraction form
    12,546/18,374 = 18,374/x
  3. Step 3: Cross multiply
    12,546x = 18,374 × 18,374
  4. Step 4: Simplify right side
    12,546x = 337,603,876
  5. Step 5: Solve for x
    x = 337,603,876/12,546
  6. Step 6: Final answer
    x = 26,909.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.