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Finding the Third Proportional to 12,262 and 18,338

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Solution

The third proportional to 12,262 and 18,338 is: 27,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262 : 18,338 = 18,338 : x
  2. Step 2: Convert to fraction form
    12,262/18,338 = 18,338/x
  3. Step 3: Cross multiply
    12,262x = 18,338 × 18,338
  4. Step 4: Simplify right side
    12,262x = 336,282,244
  5. Step 5: Solve for x
    x = 336,282,244/12,262
  6. Step 6: Final answer
    x = 27,424.75

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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.