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Finding the Third Proportional to 943.22 and 2,073.19

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Solution

The third proportional to 943.22 and 2,073.19 is: 4,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.22 : 2,073.19 = 2,073.19 : x
  2. Step 2: Convert to fraction form
    943.22/2,073.19 = 2,073.19/x
  3. Step 3: Cross multiply
    943.22x = 2,073.19 × 2,073.19
  4. Step 4: Simplify right side
    943.22x = 4,298,106.41
  5. Step 5: Solve for x
    x = 4,298,106.41/943.22
  6. Step 6: Final answer
    x = 4,556.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.