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Finding the Third Proportional to 5,683.92 and 12,204.42

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Solution

The third proportional to 5,683.92 and 12,204.42 is: 26,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.92 : 12,204.42 = 12,204.42 : x
  2. Step 2: Convert to fraction form
    5,683.92/12,204.42 = 12,204.42/x
  3. Step 3: Cross multiply
    5,683.92x = 12,204.42 × 12,204.42
  4. Step 4: Simplify right side
    5,683.92x = 148,947,913.30
  5. Step 5: Solve for x
    x = 148,947,913.30/5,683.92
  6. Step 6: Final answer
    x = 26,205.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.