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Finding the Third Proportional to 3,942 and 9,522

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Solution

The third proportional to 3,942 and 9,522 is: 23,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942 : 9,522 = 9,522 : x
  2. Step 2: Convert to fraction form
    3,942/9,522 = 9,522/x
  3. Step 3: Cross multiply
    3,942x = 9,522 × 9,522
  4. Step 4: Simplify right side
    3,942x = 90,668,484
  5. Step 5: Solve for x
    x = 90,668,484/3,942
  6. Step 6: Final answer
    x = 23,000.63

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.