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Finding the Third Proportional to 11,746.50 and 18,195

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Solution

The third proportional to 11,746.50 and 18,195 is: 28,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.50 : 18,195 = 18,195 : x
  2. Step 2: Convert to fraction form
    11,746.50/18,195 = 18,195/x
  3. Step 3: Cross multiply
    11,746.50x = 18,195 × 18,195
  4. Step 4: Simplify right side
    11,746.50x = 331,058,025
  5. Step 5: Solve for x
    x = 331,058,025/11,746.50
  6. Step 6: Final answer
    x = 28,183.55

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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.