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Finding the Third Proportional to 1,067 and 2,317.25

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Solution

The third proportional to 1,067 and 2,317.25 is: 5,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067 : 2,317.25 = 2,317.25 : x
  2. Step 2: Convert to fraction form
    1,067/2,317.25 = 2,317.25/x
  3. Step 3: Cross multiply
    1,067x = 2,317.25 × 2,317.25
  4. Step 4: Simplify right side
    1,067x = 5,369,647.56
  5. Step 5: Solve for x
    x = 5,369,647.56/1,067
  6. Step 6: Final answer
    x = 5,032.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.