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Finding the Third Proportional to 5,138.72 and 11,006.44

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Solution

The third proportional to 5,138.72 and 11,006.44 is: 23,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.72 : 11,006.44 = 11,006.44 : x
  2. Step 2: Convert to fraction form
    5,138.72/11,006.44 = 11,006.44/x
  3. Step 3: Cross multiply
    5,138.72x = 11,006.44 × 11,006.44
  4. Step 4: Simplify right side
    5,138.72x = 121,141,666.44
  5. Step 5: Solve for x
    x = 121,141,666.44/5,138.72
  6. Step 6: Final answer
    x = 23,574.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.