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Finding the Third Proportional to 6,702 and 7,458

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Solution

The third proportional to 6,702 and 7,458 is: 8,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702 : 7,458 = 7,458 : x
  2. Step 2: Convert to fraction form
    6,702/7,458 = 7,458/x
  3. Step 3: Cross multiply
    6,702x = 7,458 × 7,458
  4. Step 4: Simplify right side
    6,702x = 55,621,764
  5. Step 5: Solve for x
    x = 55,621,764/6,702
  6. Step 6: Final answer
    x = 8,299.28

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.