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Finding the Third Proportional to 5,176.41 and 11,179.27

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Solution

The third proportional to 5,176.41 and 11,179.27 is: 24,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.41 : 11,179.27 = 11,179.27 : x
  2. Step 2: Convert to fraction form
    5,176.41/11,179.27 = 11,179.27/x
  3. Step 3: Cross multiply
    5,176.41x = 11,179.27 × 11,179.27
  4. Step 4: Simplify right side
    5,176.41x = 124,975,979.91
  5. Step 5: Solve for x
    x = 124,975,979.91/5,176.41
  6. Step 6: Final answer
    x = 24,143.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.