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Finding the Third Proportional to 5,674.78 and 9,027.56

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Solution

The third proportional to 5,674.78 and 9,027.56 is: 14,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.78 : 9,027.56 = 9,027.56 : x
  2. Step 2: Convert to fraction form
    5,674.78/9,027.56 = 9,027.56/x
  3. Step 3: Cross multiply
    5,674.78x = 9,027.56 × 9,027.56
  4. Step 4: Simplify right side
    5,674.78x = 81,496,884.69
  5. Step 5: Solve for x
    x = 81,496,884.69/5,674.78
  6. Step 6: Final answer
    x = 14,361.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.