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Finding the Third Proportional to 8,080 and 8,976

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Solution

The third proportional to 8,080 and 8,976 is: 9,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,080 : 8,976 = 8,976 : x
  2. Step 2: Convert to fraction form
    8,080/8,976 = 8,976/x
  3. Step 3: Cross multiply
    8,080x = 8,976 × 8,976
  4. Step 4: Simplify right side
    8,080x = 80,568,576
  5. Step 5: Solve for x
    x = 80,568,576/8,080
  6. Step 6: Final answer
    x = 9,971.36

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.