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Finding the Third Proportional to 5,856 and 11,171

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Solution

The third proportional to 5,856 and 11,171 is: 21,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856 : 11,171 = 11,171 : x
  2. Step 2: Convert to fraction form
    5,856/11,171 = 11,171/x
  3. Step 3: Cross multiply
    5,856x = 11,171 × 11,171
  4. Step 4: Simplify right side
    5,856x = 124,791,241
  5. Step 5: Solve for x
    x = 124,791,241/5,856
  6. Step 6: Final answer
    x = 21,309.98

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.