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Finding the Third Proportional to 5,377.22 and 11,651.34

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Solution

The third proportional to 5,377.22 and 11,651.34 is: 25,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.22 : 11,651.34 = 11,651.34 : x
  2. Step 2: Convert to fraction form
    5,377.22/11,651.34 = 11,651.34/x
  3. Step 3: Cross multiply
    5,377.22x = 11,651.34 × 11,651.34
  4. Step 4: Simplify right side
    5,377.22x = 135,753,811.18
  5. Step 5: Solve for x
    x = 135,753,811.18/5,377.22
  6. Step 6: Final answer
    x = 25,246.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.