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Finding the Third Proportional to 4,816.13 and 11,591.44

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Solution

The third proportional to 4,816.13 and 11,591.44 is: 27,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.13 : 11,591.44 = 11,591.44 : x
  2. Step 2: Convert to fraction form
    4,816.13/11,591.44 = 11,591.44/x
  3. Step 3: Cross multiply
    4,816.13x = 11,591.44 × 11,591.44
  4. Step 4: Simplify right side
    4,816.13x = 134,361,423.32
  5. Step 5: Solve for x
    x = 134,361,423.32/4,816.13
  6. Step 6: Final answer
    x = 27,898.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.