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Finding the Third Proportional to 18,697 and 41,282

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Solution

The third proportional to 18,697 and 41,282 is: 91,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697 : 41,282 = 41,282 : x
  2. Step 2: Convert to fraction form
    18,697/41,282 = 41,282/x
  3. Step 3: Cross multiply
    18,697x = 41,282 × 41,282
  4. Step 4: Simplify right side
    18,697x = 1,704,203,524
  5. Step 5: Solve for x
    x = 1,704,203,524/18,697
  6. Step 6: Final answer
    x = 91,148.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.