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Finding the Third Proportional to 3,702 and 5,640

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Solution

The third proportional to 3,702 and 5,640 is: 8,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702 : 5,640 = 5,640 : x
  2. Step 2: Convert to fraction form
    3,702/5,640 = 5,640/x
  3. Step 3: Cross multiply
    3,702x = 5,640 × 5,640
  4. Step 4: Simplify right side
    3,702x = 31,809,600
  5. Step 5: Solve for x
    x = 31,809,600/3,702
  6. Step 6: Final answer
    x = 8,592.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.