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Finding the Third Proportional to 18,131 and 27,113

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Solution

The third proportional to 18,131 and 27,113 is: 40,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131 : 27,113 = 27,113 : x
  2. Step 2: Convert to fraction form
    18,131/27,113 = 27,113/x
  3. Step 3: Cross multiply
    18,131x = 27,113 × 27,113
  4. Step 4: Simplify right side
    18,131x = 735,114,769
  5. Step 5: Solve for x
    x = 735,114,769/18,131
  6. Step 6: Final answer
    x = 40,544.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.