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Finding the Third Proportional to 2,006.44 and 4,783.22

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Solution

The third proportional to 2,006.44 and 4,783.22 is: 11,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.44 : 4,783.22 = 4,783.22 : x
  2. Step 2: Convert to fraction form
    2,006.44/4,783.22 = 4,783.22/x
  3. Step 3: Cross multiply
    2,006.44x = 4,783.22 × 4,783.22
  4. Step 4: Simplify right side
    2,006.44x = 22,879,181.61
  5. Step 5: Solve for x
    x = 22,879,181.61/2,006.44
  6. Step 6: Final answer
    x = 11,402.89

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.