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Finding the Third Proportional to 1,067.13 and 1,670.31

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Solution

The third proportional to 1,067.13 and 1,670.31 is: 2,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.13 : 1,670.31 = 1,670.31 : x
  2. Step 2: Convert to fraction form
    1,067.13/1,670.31 = 1,670.31/x
  3. Step 3: Cross multiply
    1,067.13x = 1,670.31 × 1,670.31
  4. Step 4: Simplify right side
    1,067.13x = 2,789,943.85
  5. Step 5: Solve for x
    x = 2,789,943.85/1,067.13
  6. Step 6: Final answer
    x = 2,614.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.