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Finding the Third Proportional to 5,179.78 and 11,037.94

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Solution

The third proportional to 5,179.78 and 11,037.94 is: 23,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.78 : 11,037.94 = 11,037.94 : x
  2. Step 2: Convert to fraction form
    5,179.78/11,037.94 = 11,037.94/x
  3. Step 3: Cross multiply
    5,179.78x = 11,037.94 × 11,037.94
  4. Step 4: Simplify right side
    5,179.78x = 121,836,064.25
  5. Step 5: Solve for x
    x = 121,836,064.25/5,179.78
  6. Step 6: Final answer
    x = 23,521.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.