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Finding the Third Proportional to 1,983.23 and 4,308.82

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Solution

The third proportional to 1,983.23 and 4,308.82 is: 9,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.23 : 4,308.82 = 4,308.82 : x
  2. Step 2: Convert to fraction form
    1,983.23/4,308.82 = 4,308.82/x
  3. Step 3: Cross multiply
    1,983.23x = 4,308.82 × 4,308.82
  4. Step 4: Simplify right side
    1,983.23x = 18,565,932.49
  5. Step 5: Solve for x
    x = 18,565,932.49/1,983.23
  6. Step 6: Final answer
    x = 9,361.44

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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.