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Finding the Third Proportional to 2,029.22 and 4,145.34

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Solution

The third proportional to 2,029.22 and 4,145.34 is: 8,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.22 : 4,145.34 = 4,145.34 : x
  2. Step 2: Convert to fraction form
    2,029.22/4,145.34 = 4,145.34/x
  3. Step 3: Cross multiply
    2,029.22x = 4,145.34 × 4,145.34
  4. Step 4: Simplify right side
    2,029.22x = 17,183,874.81
  5. Step 5: Solve for x
    x = 17,183,874.81/2,029.22
  6. Step 6: Final answer
    x = 8,468.22

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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.