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Finding the Third Proportional to 2,057.63 and 4,011.75

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Solution

The third proportional to 2,057.63 and 4,011.75 is: 7,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.63 : 4,011.75 = 4,011.75 : x
  2. Step 2: Convert to fraction form
    2,057.63/4,011.75 = 4,011.75/x
  3. Step 3: Cross multiply
    2,057.63x = 4,011.75 × 4,011.75
  4. Step 4: Simplify right side
    2,057.63x = 16,094,138.06
  5. Step 5: Solve for x
    x = 16,094,138.06/2,057.63
  6. Step 6: Final answer
    x = 7,821.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.