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Finding the Third Proportional to 7,762 and 17,324

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Solution

The third proportional to 7,762 and 17,324 is: 38,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762 : 17,324 = 17,324 : x
  2. Step 2: Convert to fraction form
    7,762/17,324 = 17,324/x
  3. Step 3: Cross multiply
    7,762x = 17,324 × 17,324
  4. Step 4: Simplify right side
    7,762x = 300,120,976
  5. Step 5: Solve for x
    x = 300,120,976/7,762
  6. Step 6: Final answer
    x = 38,665.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.