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Finding the Third Proportional to 4,879.62 and 10,642.64

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Solution

The third proportional to 4,879.62 and 10,642.64 is: 23,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.62 : 10,642.64 = 10,642.64 : x
  2. Step 2: Convert to fraction form
    4,879.62/10,642.64 = 10,642.64/x
  3. Step 3: Cross multiply
    4,879.62x = 10,642.64 × 10,642.64
  4. Step 4: Simplify right side
    4,879.62x = 113,265,799.47
  5. Step 5: Solve for x
    x = 113,265,799.47/4,879.62
  6. Step 6: Final answer
    x = 23,212.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.