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Finding the Third Proportional to 16,338 and 19,218

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Solution

The third proportional to 16,338 and 19,218 is: 22,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338 : 19,218 = 19,218 : x
  2. Step 2: Convert to fraction form
    16,338/19,218 = 19,218/x
  3. Step 3: Cross multiply
    16,338x = 19,218 × 19,218
  4. Step 4: Simplify right side
    16,338x = 369,331,524
  5. Step 5: Solve for x
    x = 369,331,524/16,338
  6. Step 6: Final answer
    x = 22,605.68

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.