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Finding the Third Proportional to 4,209 and 5,781

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Solution

The third proportional to 4,209 and 5,781 is: 7,940.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209 : 5,781 = 5,781 : x
  2. Step 2: Convert to fraction form
    4,209/5,781 = 5,781/x
  3. Step 3: Cross multiply
    4,209x = 5,781 × 5,781
  4. Step 4: Simplify right side
    4,209x = 33,419,961
  5. Step 5: Solve for x
    x = 33,419,961/4,209
  6. Step 6: Final answer
    x = 7,940.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.