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Finding the Third Proportional to 4,192.88 and 5,542.88

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Solution

The third proportional to 4,192.88 and 5,542.88 is: 7,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.88 : 5,542.88 = 5,542.88 : x
  2. Step 2: Convert to fraction form
    4,192.88/5,542.88 = 5,542.88/x
  3. Step 3: Cross multiply
    4,192.88x = 5,542.88 × 5,542.88
  4. Step 4: Simplify right side
    4,192.88x = 30,723,463.27
  5. Step 5: Solve for x
    x = 30,723,463.27/4,192.88
  6. Step 6: Final answer
    x = 7,327.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.