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Finding the Third Proportional to 986 and 2,663

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Solution

The third proportional to 986 and 2,663 is: 7,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    986 : 2,663 = 2,663 : x
  2. Step 2: Convert to fraction form
    986/2,663 = 2,663/x
  3. Step 3: Cross multiply
    986x = 2,663 × 2,663
  4. Step 4: Simplify right side
    986x = 7,091,569
  5. Step 5: Solve for x
    x = 7,091,569/986
  6. Step 6: Final answer
    x = 7,192.26

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.