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Finding the Third Proportional to 3,067.50 and 4,658.25

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Solution

The third proportional to 3,067.50 and 4,658.25 is: 7,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.50 : 4,658.25 = 4,658.25 : x
  2. Step 2: Convert to fraction form
    3,067.50/4,658.25 = 4,658.25/x
  3. Step 3: Cross multiply
    3,067.50x = 4,658.25 × 4,658.25
  4. Step 4: Simplify right side
    3,067.50x = 21,699,293.06
  5. Step 5: Solve for x
    x = 21,699,293.06/3,067.50
  6. Step 6: Final answer
    x = 7,073.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.