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Finding the Third Proportional to 3,734.44 and 5,426.44

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Solution

The third proportional to 3,734.44 and 5,426.44 is: 7,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.44 : 5,426.44 = 5,426.44 : x
  2. Step 2: Convert to fraction form
    3,734.44/5,426.44 = 5,426.44/x
  3. Step 3: Cross multiply
    3,734.44x = 5,426.44 × 5,426.44
  4. Step 4: Simplify right side
    3,734.44x = 29,446,223.94
  5. Step 5: Solve for x
    x = 29,446,223.94/3,734.44
  6. Step 6: Final answer
    x = 7,885.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.