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Finding the Third Proportional to 3,586 and 5,747

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Solution

The third proportional to 3,586 and 5,747 is: 9,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 5,747 = 5,747 : x
  2. Step 2: Convert to fraction form
    3,586/5,747 = 5,747/x
  3. Step 3: Cross multiply
    3,586x = 5,747 × 5,747
  4. Step 4: Simplify right side
    3,586x = 33,028,009
  5. Step 5: Solve for x
    x = 33,028,009/3,586
  6. Step 6: Final answer
    x = 9,210.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.