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Finding the Third Proportional to 5,846 and 11,368

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Solution

The third proportional to 5,846 and 11,368 is: 22,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846 : 11,368 = 11,368 : x
  2. Step 2: Convert to fraction form
    5,846/11,368 = 11,368/x
  3. Step 3: Cross multiply
    5,846x = 11,368 × 11,368
  4. Step 4: Simplify right side
    5,846x = 129,231,424
  5. Step 5: Solve for x
    x = 129,231,424/5,846
  6. Step 6: Final answer
    x = 22,105.96

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.