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Finding the Third Proportional to 18,958 and 41,281

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Solution

The third proportional to 18,958 and 41,281 is: 89,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,958 : 41,281 = 41,281 : x
  2. Step 2: Convert to fraction form
    18,958/41,281 = 41,281/x
  3. Step 3: Cross multiply
    18,958x = 41,281 × 41,281
  4. Step 4: Simplify right side
    18,958x = 1,704,120,961
  5. Step 5: Solve for x
    x = 1,704,120,961/18,958
  6. Step 6: Final answer
    x = 89,889.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.