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Finding the Third Proportional to 2,057.91 and 2,990.04

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Solution

The third proportional to 2,057.91 and 2,990.04 is: 4,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.91 : 2,990.04 = 2,990.04 : x
  2. Step 2: Convert to fraction form
    2,057.91/2,990.04 = 2,990.04/x
  3. Step 3: Cross multiply
    2,057.91x = 2,990.04 × 2,990.04
  4. Step 4: Simplify right side
    2,057.91x = 8,940,333.60
  5. Step 5: Solve for x
    x = 8,940,333.60/2,057.91
  6. Step 6: Final answer
    x = 4,344.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.