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Finding the Third Proportional to 786.75 and 1,659.38

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Solution

The third proportional to 786.75 and 1,659.38 is: 3,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.75 : 1,659.38 = 1,659.38 : x
  2. Step 2: Convert to fraction form
    786.75/1,659.38 = 1,659.38/x
  3. Step 3: Cross multiply
    786.75x = 1,659.38 × 1,659.38
  4. Step 4: Simplify right side
    786.75x = 2,753,525.39
  5. Step 5: Solve for x
    x = 2,753,525.39/786.75
  6. Step 6: Final answer
    x = 3,499.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.