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Finding the Third Proportional to 976 and 2,082

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Solution

The third proportional to 976 and 2,082 is: 4,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 2,082 = 2,082 : x
  2. Step 2: Convert to fraction form
    976/2,082 = 2,082/x
  3. Step 3: Cross multiply
    976x = 2,082 × 2,082
  4. Step 4: Simplify right side
    976x = 4,334,724
  5. Step 5: Solve for x
    x = 4,334,724/976
  6. Step 6: Final answer
    x = 4,441.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.