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Finding the Third Proportional to 7,960 and 17,082

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Solution

The third proportional to 7,960 and 17,082 is: 36,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960 : 17,082 = 17,082 : x
  2. Step 2: Convert to fraction form
    7,960/17,082 = 17,082/x
  3. Step 3: Cross multiply
    7,960x = 17,082 × 17,082
  4. Step 4: Simplify right side
    7,960x = 291,794,724
  5. Step 5: Solve for x
    x = 291,794,724/7,960
  6. Step 6: Final answer
    x = 36,657.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.