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Finding the Third Proportional to 3,734.23 and 5,640.26

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Solution

The third proportional to 3,734.23 and 5,640.26 is: 8,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.23 : 5,640.26 = 5,640.26 : x
  2. Step 2: Convert to fraction form
    3,734.23/5,640.26 = 5,640.26/x
  3. Step 3: Cross multiply
    3,734.23x = 5,640.26 × 5,640.26
  4. Step 4: Simplify right side
    3,734.23x = 31,812,508.19
  5. Step 5: Solve for x
    x = 31,812,508.19/3,734.23
  6. Step 6: Final answer
    x = 8,519.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.