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Finding the Third Proportional to 4,109 and 5,856

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Solution

The third proportional to 4,109 and 5,856 is: 8,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109 : 5,856 = 5,856 : x
  2. Step 2: Convert to fraction form
    4,109/5,856 = 5,856/x
  3. Step 3: Cross multiply
    4,109x = 5,856 × 5,856
  4. Step 4: Simplify right side
    4,109x = 34,292,736
  5. Step 5: Solve for x
    x = 34,292,736/4,109
  6. Step 6: Final answer
    x = 8,345.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.