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Finding the Third Proportional to 5,676.75 and 7,839.28

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Solution

The third proportional to 5,676.75 and 7,839.28 is: 10,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.75 : 7,839.28 = 7,839.28 : x
  2. Step 2: Convert to fraction form
    5,676.75/7,839.28 = 7,839.28/x
  3. Step 3: Cross multiply
    5,676.75x = 7,839.28 × 7,839.28
  4. Step 4: Simplify right side
    5,676.75x = 61,454,330.52
  5. Step 5: Solve for x
    x = 61,454,330.52/5,676.75
  6. Step 6: Final answer
    x = 10,825.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.