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Finding the Third Proportional to 4,082 and 7,342

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Solution

The third proportional to 4,082 and 7,342 is: 13,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082 : 7,342 = 7,342 : x
  2. Step 2: Convert to fraction form
    4,082/7,342 = 7,342/x
  3. Step 3: Cross multiply
    4,082x = 7,342 × 7,342
  4. Step 4: Simplify right side
    4,082x = 53,904,964
  5. Step 5: Solve for x
    x = 53,904,964/4,082
  6. Step 6: Final answer
    x = 13,205.53

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.