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Finding the Third Proportional to 3,870 and 9,324

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Solution

The third proportional to 3,870 and 9,324 is: 22,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 9,324 = 9,324 : x
  2. Step 2: Convert to fraction form
    3,870/9,324 = 9,324/x
  3. Step 3: Cross multiply
    3,870x = 9,324 × 9,324
  4. Step 4: Simplify right side
    3,870x = 86,936,976
  5. Step 5: Solve for x
    x = 86,936,976/3,870
  6. Step 6: Final answer
    x = 22,464.33

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.