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Finding the Third Proportional to 2,683.50 and 3,922.31

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Solution

The third proportional to 2,683.50 and 3,922.31 is: 5,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.50 : 3,922.31 = 3,922.31 : x
  2. Step 2: Convert to fraction form
    2,683.50/3,922.31 = 3,922.31/x
  3. Step 3: Cross multiply
    2,683.50x = 3,922.31 × 3,922.31
  4. Step 4: Simplify right side
    2,683.50x = 15,384,535.35
  5. Step 5: Solve for x
    x = 15,384,535.35/2,683.50
  6. Step 6: Final answer
    x = 5,733.01

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.