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Finding the Third Proportional to 3,970 and 9,366

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Solution

The third proportional to 3,970 and 9,366 is: 22,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970 : 9,366 = 9,366 : x
  2. Step 2: Convert to fraction form
    3,970/9,366 = 9,366/x
  3. Step 3: Cross multiply
    3,970x = 9,366 × 9,366
  4. Step 4: Simplify right side
    3,970x = 87,721,956
  5. Step 5: Solve for x
    x = 87,721,956/3,970
  6. Step 6: Final answer
    x = 22,096.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.