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Finding the Third Proportional to 4,027.50 and 7,548.75

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Solution

The third proportional to 4,027.50 and 7,548.75 is: 14,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027.50 : 7,548.75 = 7,548.75 : x
  2. Step 2: Convert to fraction form
    4,027.50/7,548.75 = 7,548.75/x
  3. Step 3: Cross multiply
    4,027.50x = 7,548.75 × 7,548.75
  4. Step 4: Simplify right side
    4,027.50x = 56,983,626.56
  5. Step 5: Solve for x
    x = 56,983,626.56/4,027.50
  6. Step 6: Final answer
    x = 14,148.63

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.