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Finding the Third Proportional to 4,100 and 5,769

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Solution

The third proportional to 4,100 and 5,769 is: 8,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100 : 5,769 = 5,769 : x
  2. Step 2: Convert to fraction form
    4,100/5,769 = 5,769/x
  3. Step 3: Cross multiply
    4,100x = 5,769 × 5,769
  4. Step 4: Simplify right side
    4,100x = 33,281,361
  5. Step 5: Solve for x
    x = 33,281,361/4,100
  6. Step 6: Final answer
    x = 8,117.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.