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Finding the Third Proportional to 18,872 and 41,025

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Solution

The third proportional to 18,872 and 41,025 is: 89,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,872 : 41,025 = 41,025 : x
  2. Step 2: Convert to fraction form
    18,872/41,025 = 41,025/x
  3. Step 3: Cross multiply
    18,872x = 41,025 × 41,025
  4. Step 4: Simplify right side
    18,872x = 1,683,050,625
  5. Step 5: Solve for x
    x = 1,683,050,625/18,872
  6. Step 6: Final answer
    x = 89,182.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.