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Finding the Third Proportional to 3,433.50 and 6,128.44

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Solution

The third proportional to 3,433.50 and 6,128.44 is: 10,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.50 : 6,128.44 = 6,128.44 : x
  2. Step 2: Convert to fraction form
    3,433.50/6,128.44 = 6,128.44/x
  3. Step 3: Cross multiply
    3,433.50x = 6,128.44 × 6,128.44
  4. Step 4: Simplify right side
    3,433.50x = 37,557,746.19
  5. Step 5: Solve for x
    x = 37,557,746.19/3,433.50
  6. Step 6: Final answer
    x = 10,938.62

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.