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Finding the Third Proportional to 7,631 and 16,082

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Solution

The third proportional to 7,631 and 16,082 is: 33,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631 : 16,082 = 16,082 : x
  2. Step 2: Convert to fraction form
    7,631/16,082 = 16,082/x
  3. Step 3: Cross multiply
    7,631x = 16,082 × 16,082
  4. Step 4: Simplify right side
    7,631x = 258,630,724
  5. Step 5: Solve for x
    x = 258,630,724/7,631
  6. Step 6: Final answer
    x = 33,892.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.