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Finding the Third Proportional to 5,911 and 12,091

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Solution

The third proportional to 5,911 and 12,091 is: 24,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911 : 12,091 = 12,091 : x
  2. Step 2: Convert to fraction form
    5,911/12,091 = 12,091/x
  3. Step 3: Cross multiply
    5,911x = 12,091 × 12,091
  4. Step 4: Simplify right side
    5,911x = 146,192,281
  5. Step 5: Solve for x
    x = 146,192,281/5,911
  6. Step 6: Final answer
    x = 24,732.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.