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Finding the Third Proportional to 2,029.43 and 4,451.84

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Solution

The third proportional to 2,029.43 and 4,451.84 is: 9,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.43 : 4,451.84 = 4,451.84 : x
  2. Step 2: Convert to fraction form
    2,029.43/4,451.84 = 4,451.84/x
  3. Step 3: Cross multiply
    2,029.43x = 4,451.84 × 4,451.84
  4. Step 4: Simplify right side
    2,029.43x = 19,818,843.21
  5. Step 5: Solve for x
    x = 19,818,843.21/2,029.43
  6. Step 6: Final answer
    x = 9,765.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.