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Finding the Third Proportional to 18,082 and 37,531

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Solution

The third proportional to 18,082 and 37,531 is: 77,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082 : 37,531 = 37,531 : x
  2. Step 2: Convert to fraction form
    18,082/37,531 = 37,531/x
  3. Step 3: Cross multiply
    18,082x = 37,531 × 37,531
  4. Step 4: Simplify right side
    18,082x = 1,408,575,961
  5. Step 5: Solve for x
    x = 1,408,575,961/18,082
  6. Step 6: Final answer
    x = 77,899.35

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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.