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Finding the Third Proportional to 3,562.50 and 5,400.75

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Solution

The third proportional to 3,562.50 and 5,400.75 is: 8,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.50 : 5,400.75 = 5,400.75 : x
  2. Step 2: Convert to fraction form
    3,562.50/5,400.75 = 5,400.75/x
  3. Step 3: Cross multiply
    3,562.50x = 5,400.75 × 5,400.75
  4. Step 4: Simplify right side
    3,562.50x = 29,168,100.56
  5. Step 5: Solve for x
    x = 29,168,100.56/3,562.50
  6. Step 6: Final answer
    x = 8,187.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.