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Finding the Third Proportional to 11,737.41 and 18,176.91

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Solution

The third proportional to 11,737.41 and 18,176.91 is: 28,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.41 : 18,176.91 = 18,176.91 : x
  2. Step 2: Convert to fraction form
    11,737.41/18,176.91 = 18,176.91/x
  3. Step 3: Cross multiply
    11,737.41x = 18,176.91 × 18,176.91
  4. Step 4: Simplify right side
    11,737.41x = 330,399,920.82
  5. Step 5: Solve for x
    x = 330,399,920.82/11,737.41
  6. Step 6: Final answer
    x = 28,149.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.