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Finding the Third Proportional to 2,011.27 and 4,214.91

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Solution

The third proportional to 2,011.27 and 4,214.91 is: 8,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.27 : 4,214.91 = 4,214.91 : x
  2. Step 2: Convert to fraction form
    2,011.27/4,214.91 = 4,214.91/x
  3. Step 3: Cross multiply
    2,011.27x = 4,214.91 × 4,214.91
  4. Step 4: Simplify right side
    2,011.27x = 17,765,434.70
  5. Step 5: Solve for x
    x = 17,765,434.70/2,011.27
  6. Step 6: Final answer
    x = 8,832.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.