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Finding the Third Proportional to 5,786 and 7,965

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Solution

The third proportional to 5,786 and 7,965 is: 10,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 7,965 = 7,965 : x
  2. Step 2: Convert to fraction form
    5,786/7,965 = 7,965/x
  3. Step 3: Cross multiply
    5,786x = 7,965 × 7,965
  4. Step 4: Simplify right side
    5,786x = 63,441,225
  5. Step 5: Solve for x
    x = 63,441,225/5,786
  6. Step 6: Final answer
    x = 10,964.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.