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Finding the Third Proportional to 5,023.27 and 10,612.27

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Solution

The third proportional to 5,023.27 and 10,612.27 is: 22,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.27 : 10,612.27 = 10,612.27 : x
  2. Step 2: Convert to fraction form
    5,023.27/10,612.27 = 10,612.27/x
  3. Step 3: Cross multiply
    5,023.27x = 10,612.27 × 10,612.27
  4. Step 4: Simplify right side
    5,023.27x = 112,620,181.70
  5. Step 5: Solve for x
    x = 112,620,181.70/5,023.27
  6. Step 6: Final answer
    x = 22,419.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.