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Finding the Third Proportional to 6,965 and 9,762

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Solution

The third proportional to 6,965 and 9,762 is: 13,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965 : 9,762 = 9,762 : x
  2. Step 2: Convert to fraction form
    6,965/9,762 = 9,762/x
  3. Step 3: Cross multiply
    6,965x = 9,762 × 9,762
  4. Step 4: Simplify right side
    6,965x = 95,296,644
  5. Step 5: Solve for x
    x = 95,296,644/6,965
  6. Step 6: Final answer
    x = 13,682.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.