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Finding the Third Proportional to 2,029.22 and 2,911.78

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Solution

The third proportional to 2,029.22 and 2,911.78 is: 4,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.22 : 2,911.78 = 2,911.78 : x
  2. Step 2: Convert to fraction form
    2,029.22/2,911.78 = 2,911.78/x
  3. Step 3: Cross multiply
    2,029.22x = 2,911.78 × 2,911.78
  4. Step 4: Simplify right side
    2,029.22x = 8,478,470.05
  5. Step 5: Solve for x
    x = 8,478,470.05/2,029.22
  6. Step 6: Final answer
    x = 4,178.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.