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Finding the Third Proportional to 4,013.25 and 5,326.59

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Solution

The third proportional to 4,013.25 and 5,326.59 is: 7,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.25 : 5,326.59 = 5,326.59 : x
  2. Step 2: Convert to fraction form
    4,013.25/5,326.59 = 5,326.59/x
  3. Step 3: Cross multiply
    4,013.25x = 5,326.59 × 5,326.59
  4. Step 4: Simplify right side
    4,013.25x = 28,372,600.98
  5. Step 5: Solve for x
    x = 28,372,600.98/4,013.25
  6. Step 6: Final answer
    x = 7,069.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.