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Finding the Third Proportional to 986 and 1,807

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Solution

The third proportional to 986 and 1,807 is: 3,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    986 : 1,807 = 1,807 : x
  2. Step 2: Convert to fraction form
    986/1,807 = 1,807/x
  3. Step 3: Cross multiply
    986x = 1,807 × 1,807
  4. Step 4: Simplify right side
    986x = 3,265,249
  5. Step 5: Solve for x
    x = 3,265,249/986
  6. Step 6: Final answer
    x = 3,311.61

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.