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Finding the Third Proportional to 4,029.75 and 5,609.25

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Solution

The third proportional to 4,029.75 and 5,609.25 is: 7,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029.75 : 5,609.25 = 5,609.25 : x
  2. Step 2: Convert to fraction form
    4,029.75/5,609.25 = 5,609.25/x
  3. Step 3: Cross multiply
    4,029.75x = 5,609.25 × 5,609.25
  4. Step 4: Simplify right side
    4,029.75x = 31,463,685.56
  5. Step 5: Solve for x
    x = 31,463,685.56/4,029.75
  6. Step 6: Final answer
    x = 7,807.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.