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Finding the Third Proportional to 2,032.31 and 4,860.56

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Solution

The third proportional to 2,032.31 and 4,860.56 is: 11,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.31 : 4,860.56 = 4,860.56 : x
  2. Step 2: Convert to fraction form
    2,032.31/4,860.56 = 4,860.56/x
  3. Step 3: Cross multiply
    2,032.31x = 4,860.56 × 4,860.56
  4. Step 4: Simplify right side
    2,032.31x = 23,625,067.82
  5. Step 5: Solve for x
    x = 23,625,067.82/2,032.31
  6. Step 6: Final answer
    x = 11,624.72

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.