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Finding the Third Proportional to 3,542.31 and 5,205.44

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Solution

The third proportional to 3,542.31 and 5,205.44 is: 7,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.31 : 5,205.44 = 5,205.44 : x
  2. Step 2: Convert to fraction form
    3,542.31/5,205.44 = 5,205.44/x
  3. Step 3: Cross multiply
    3,542.31x = 5,205.44 × 5,205.44
  4. Step 4: Simplify right side
    3,542.31x = 27,096,579.57
  5. Step 5: Solve for x
    x = 27,096,579.57/3,542.31
  6. Step 6: Final answer
    x = 7,649.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.