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Finding the Third Proportional to 1,322.16 and 1,983.23

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Solution

The third proportional to 1,322.16 and 1,983.23 is: 2,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.16 : 1,983.23 = 1,983.23 : x
  2. Step 2: Convert to fraction form
    1,322.16/1,983.23 = 1,983.23/x
  3. Step 3: Cross multiply
    1,322.16x = 1,983.23 × 1,983.23
  4. Step 4: Simplify right side
    1,322.16x = 3,933,218.59
  5. Step 5: Solve for x
    x = 3,933,218.59/1,322.16
  6. Step 6: Final answer
    x = 2,974.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.