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Finding the Third Proportional to 18,063 and 37,701

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Solution

The third proportional to 18,063 and 37,701 is: 78,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,063 : 37,701 = 37,701 : x
  2. Step 2: Convert to fraction form
    18,063/37,701 = 37,701/x
  3. Step 3: Cross multiply
    18,063x = 37,701 × 37,701
  4. Step 4: Simplify right side
    18,063x = 1,421,365,401
  5. Step 5: Solve for x
    x = 1,421,365,401/18,063
  6. Step 6: Final answer
    x = 78,689.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.