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Finding the Third Proportional to 3,827.52 and 5,579.09

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Solution

The third proportional to 3,827.52 and 5,579.09 is: 8,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.52 : 5,579.09 = 5,579.09 : x
  2. Step 2: Convert to fraction form
    3,827.52/5,579.09 = 5,579.09/x
  3. Step 3: Cross multiply
    3,827.52x = 5,579.09 × 5,579.09
  4. Step 4: Simplify right side
    3,827.52x = 31,126,273.45
  5. Step 5: Solve for x
    x = 31,126,273.45/3,827.52
  6. Step 6: Final answer
    x = 8,132.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.