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Finding the Third Proportional to 10,969 and 16,211

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Solution

The third proportional to 10,969 and 16,211 is: 23,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969 : 16,211 = 16,211 : x
  2. Step 2: Convert to fraction form
    10,969/16,211 = 16,211/x
  3. Step 3: Cross multiply
    10,969x = 16,211 × 16,211
  4. Step 4: Simplify right side
    10,969x = 262,796,521
  5. Step 5: Solve for x
    x = 262,796,521/10,969
  6. Step 6: Final answer
    x = 23,958.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.