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Finding the Third Proportional to 4,469.06 and 9,815.06

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Solution

The third proportional to 4,469.06 and 9,815.06 is: 21,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.06 : 9,815.06 = 9,815.06 : x
  2. Step 2: Convert to fraction form
    4,469.06/9,815.06 = 9,815.06/x
  3. Step 3: Cross multiply
    4,469.06x = 9,815.06 × 9,815.06
  4. Step 4: Simplify right side
    4,469.06x = 96,335,451.88
  5. Step 5: Solve for x
    x = 96,335,451.88/4,469.06
  6. Step 6: Final answer
    x = 21,556.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.