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Finding the Third Proportional to 2,004.47 and 4,221.84

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Solution

The third proportional to 2,004.47 and 4,221.84 is: 8,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.47 : 4,221.84 = 4,221.84 : x
  2. Step 2: Convert to fraction form
    2,004.47/4,221.84 = 4,221.84/x
  3. Step 3: Cross multiply
    2,004.47x = 4,221.84 × 4,221.84
  4. Step 4: Simplify right side
    2,004.47x = 17,823,964.65
  5. Step 5: Solve for x
    x = 17,823,964.65/2,004.47
  6. Step 6: Final answer
    x = 8,892.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.