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Finding the Third Proportional to 12,344 and 16,188

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Solution

The third proportional to 12,344 and 16,188 is: 21,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344 : 16,188 = 16,188 : x
  2. Step 2: Convert to fraction form
    12,344/16,188 = 16,188/x
  3. Step 3: Cross multiply
    12,344x = 16,188 × 16,188
  4. Step 4: Simplify right side
    12,344x = 262,051,344
  5. Step 5: Solve for x
    x = 262,051,344/12,344
  6. Step 6: Final answer
    x = 21,229.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.