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Finding the Third Proportional to 6,027.75 and 9,438.19

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Solution

The third proportional to 6,027.75 and 9,438.19 is: 14,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.75 : 9,438.19 = 9,438.19 : x
  2. Step 2: Convert to fraction form
    6,027.75/9,438.19 = 9,438.19/x
  3. Step 3: Cross multiply
    6,027.75x = 9,438.19 × 9,438.19
  4. Step 4: Simplify right side
    6,027.75x = 89,079,383.29
  5. Step 5: Solve for x
    x = 89,079,383.29/6,027.75
  6. Step 6: Final answer
    x = 14,778.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.