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Finding the Third Proportional to 6,814 and 9,643

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Solution

The third proportional to 6,814 and 9,643 is: 13,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814 : 9,643 = 9,643 : x
  2. Step 2: Convert to fraction form
    6,814/9,643 = 9,643/x
  3. Step 3: Cross multiply
    6,814x = 9,643 × 9,643
  4. Step 4: Simplify right side
    6,814x = 92,987,449
  5. Step 5: Solve for x
    x = 92,987,449/6,814
  6. Step 6: Final answer
    x = 13,646.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.