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Finding the Third Proportional to 1,993.83 and 4,333.18

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Solution

The third proportional to 1,993.83 and 4,333.18 is: 9,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.83 : 4,333.18 = 4,333.18 : x
  2. Step 2: Convert to fraction form
    1,993.83/4,333.18 = 4,333.18/x
  3. Step 3: Cross multiply
    1,993.83x = 4,333.18 × 4,333.18
  4. Step 4: Simplify right side
    1,993.83x = 18,776,480.06
  5. Step 5: Solve for x
    x = 18,776,480.06/1,993.83
  6. Step 6: Final answer
    x = 9,417.27

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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.