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Finding the Third Proportional to 2,057.91 and 2,900.81

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Solution

The third proportional to 2,057.91 and 2,900.81 is: 4,088.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.91 : 2,900.81 = 2,900.81 : x
  2. Step 2: Convert to fraction form
    2,057.91/2,900.81 = 2,900.81/x
  3. Step 3: Cross multiply
    2,057.91x = 2,900.81 × 2,900.81
  4. Step 4: Simplify right side
    2,057.91x = 8,414,713.16
  5. Step 5: Solve for x
    x = 8,414,713.16/2,057.91
  6. Step 6: Final answer
    x = 4,088.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.