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Finding the Third Proportional to 2,067.19 and 4,780.69

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Solution

The third proportional to 2,067.19 and 4,780.69 is: 11,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.19 : 4,780.69 = 4,780.69 : x
  2. Step 2: Convert to fraction form
    2,067.19/4,780.69 = 4,780.69/x
  3. Step 3: Cross multiply
    2,067.19x = 4,780.69 × 4,780.69
  4. Step 4: Simplify right side
    2,067.19x = 22,854,972.97
  5. Step 5: Solve for x
    x = 22,854,972.97/2,067.19
  6. Step 6: Final answer
    x = 11,056.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.