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Finding the Third Proportional to 12,338 and 18,073

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Solution

The third proportional to 12,338 and 18,073 is: 26,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338 : 18,073 = 18,073 : x
  2. Step 2: Convert to fraction form
    12,338/18,073 = 18,073/x
  3. Step 3: Cross multiply
    12,338x = 18,073 × 18,073
  4. Step 4: Simplify right side
    12,338x = 326,633,329
  5. Step 5: Solve for x
    x = 326,633,329/12,338
  6. Step 6: Final answer
    x = 26,473.77

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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.