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Finding the Third Proportional to 3,082 and 4,672

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Solution

The third proportional to 3,082 and 4,672 is: 7,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082 : 4,672 = 4,672 : x
  2. Step 2: Convert to fraction form
    3,082/4,672 = 4,672/x
  3. Step 3: Cross multiply
    3,082x = 4,672 × 4,672
  4. Step 4: Simplify right side
    3,082x = 21,827,584
  5. Step 5: Solve for x
    x = 21,827,584/3,082
  6. Step 6: Final answer
    x = 7,082.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.