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Finding the Third Proportional to 36,966 and 81,082

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Solution

The third proportional to 36,966 and 81,082 is: 177,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,966 : 81,082 = 81,082 : x
  2. Step 2: Convert to fraction form
    36,966/81,082 = 81,082/x
  3. Step 3: Cross multiply
    36,966x = 81,082 × 81,082
  4. Step 4: Simplify right side
    36,966x = 6,574,290,724
  5. Step 5: Solve for x
    x = 6,574,290,724/36,966
  6. Step 6: Final answer
    x = 177,846.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.