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Finding the Third Proportional to 3,695 and 5,082

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Solution

The third proportional to 3,695 and 5,082 is: 6,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695 : 5,082 = 5,082 : x
  2. Step 2: Convert to fraction form
    3,695/5,082 = 5,082/x
  3. Step 3: Cross multiply
    3,695x = 5,082 × 5,082
  4. Step 4: Simplify right side
    3,695x = 25,826,724
  5. Step 5: Solve for x
    x = 25,826,724/3,695
  6. Step 6: Final answer
    x = 6,989.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.