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Finding the Third Proportional to 18,054 and 37,542

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Solution

The third proportional to 18,054 and 37,542 is: 78,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,054 : 37,542 = 37,542 : x
  2. Step 2: Convert to fraction form
    18,054/37,542 = 37,542/x
  3. Step 3: Cross multiply
    18,054x = 37,542 × 37,542
  4. Step 4: Simplify right side
    18,054x = 1,409,401,764
  5. Step 5: Solve for x
    x = 1,409,401,764/18,054
  6. Step 6: Final answer
    x = 78,065.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.