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Finding the Third Proportional to 30,582.75 and 43,067.25

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Solution

The third proportional to 30,582.75 and 43,067.25 is: 60,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.75 : 43,067.25 = 43,067.25 : x
  2. Step 2: Convert to fraction form
    30,582.75/43,067.25 = 43,067.25/x
  3. Step 3: Cross multiply
    30,582.75x = 43,067.25 × 43,067.25
  4. Step 4: Simplify right side
    30,582.75x = 1,854,788,022.56
  5. Step 5: Solve for x
    x = 1,854,788,022.56/30,582.75
  6. Step 6: Final answer
    x = 60,648.18

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.