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Finding the Third Proportional to 3,067.88 and 4,865.70

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Solution

The third proportional to 3,067.88 and 4,865.70 is: 7,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.88 : 4,865.70 = 4,865.70 : x
  2. Step 2: Convert to fraction form
    3,067.88/4,865.70 = 4,865.70/x
  3. Step 3: Cross multiply
    3,067.88x = 4,865.70 × 4,865.70
  4. Step 4: Simplify right side
    3,067.88x = 23,674,990.87
  5. Step 5: Solve for x
    x = 23,674,990.87/3,067.88
  6. Step 6: Final answer
    x = 7,717.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.