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Finding the Third Proportional to 2,404.69 and 4,908.09

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Solution

The third proportional to 2,404.69 and 4,908.09 is: 10,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.69 : 4,908.09 = 4,908.09 : x
  2. Step 2: Convert to fraction form
    2,404.69/4,908.09 = 4,908.09/x
  3. Step 3: Cross multiply
    2,404.69x = 4,908.09 × 4,908.09
  4. Step 4: Simplify right side
    2,404.69x = 24,089,384.26
  5. Step 5: Solve for x
    x = 24,089,384.26/2,404.69
  6. Step 6: Final answer
    x = 10,017.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.