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Finding the Third Proportional to 11,969 and 16,251

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Solution

The third proportional to 11,969 and 16,251 is: 22,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969 : 16,251 = 16,251 : x
  2. Step 2: Convert to fraction form
    11,969/16,251 = 16,251/x
  3. Step 3: Cross multiply
    11,969x = 16,251 × 16,251
  4. Step 4: Simplify right side
    11,969x = 264,095,001
  5. Step 5: Solve for x
    x = 264,095,001/11,969
  6. Step 6: Final answer
    x = 22,064.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.