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Finding the Third Proportional to 3,378.88 and 5,108.75

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Solution

The third proportional to 3,378.88 and 5,108.75 is: 7,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.88 : 5,108.75 = 5,108.75 : x
  2. Step 2: Convert to fraction form
    3,378.88/5,108.75 = 5,108.75/x
  3. Step 3: Cross multiply
    3,378.88x = 5,108.75 × 5,108.75
  4. Step 4: Simplify right side
    3,378.88x = 26,099,326.56
  5. Step 5: Solve for x
    x = 26,099,326.56/3,378.88
  6. Step 6: Final answer
    x = 7,724.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.