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Finding the Third Proportional to 2,011.08 and 2,836.27

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Solution

The third proportional to 2,011.08 and 2,836.27 is: 4,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.08 : 2,836.27 = 2,836.27 : x
  2. Step 2: Convert to fraction form
    2,011.08/2,836.27 = 2,836.27/x
  3. Step 3: Cross multiply
    2,011.08x = 2,836.27 × 2,836.27
  4. Step 4: Simplify right side
    2,011.08x = 8,044,402.70
  5. Step 5: Solve for x
    x = 8,044,402.70/2,011.08
  6. Step 6: Final answer
    x = 4,000.04

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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.