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Finding the Third Proportional to 6,322 and 6,880

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Solution

The third proportional to 6,322 and 6,880 is: 7,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322 : 6,880 = 6,880 : x
  2. Step 2: Convert to fraction form
    6,322/6,880 = 6,880/x
  3. Step 3: Cross multiply
    6,322x = 6,880 × 6,880
  4. Step 4: Simplify right side
    6,322x = 47,334,400
  5. Step 5: Solve for x
    x = 47,334,400/6,322
  6. Step 6: Final answer
    x = 7,487.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.