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Finding the Third Proportional to 6,496 and 8,446

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Solution

The third proportional to 6,496 and 8,446 is: 10,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496 : 8,446 = 8,446 : x
  2. Step 2: Convert to fraction form
    6,496/8,446 = 8,446/x
  3. Step 3: Cross multiply
    6,496x = 8,446 × 8,446
  4. Step 4: Simplify right side
    6,496x = 71,334,916
  5. Step 5: Solve for x
    x = 71,334,916/6,496
  6. Step 6: Final answer
    x = 10,981.36

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.