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Finding the Third Proportional to 5,676.75 and 7,182.28

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Solution

The third proportional to 5,676.75 and 7,182.28 is: 9,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.75 : 7,182.28 = 7,182.28 : x
  2. Step 2: Convert to fraction form
    5,676.75/7,182.28 = 7,182.28/x
  3. Step 3: Cross multiply
    5,676.75x = 7,182.28 × 7,182.28
  4. Step 4: Simplify right side
    5,676.75x = 51,585,163.95
  5. Step 5: Solve for x
    x = 51,585,163.95/5,676.75
  6. Step 6: Final answer
    x = 9,087.09

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.