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Finding the Third Proportional to 12,266 and 16,215

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Solution

The third proportional to 12,266 and 16,215 is: 21,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266 : 16,215 = 16,215 : x
  2. Step 2: Convert to fraction form
    12,266/16,215 = 16,215/x
  3. Step 3: Cross multiply
    12,266x = 16,215 × 16,215
  4. Step 4: Simplify right side
    12,266x = 262,926,225
  5. Step 5: Solve for x
    x = 262,926,225/12,266
  6. Step 6: Final answer
    x = 21,435.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.