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Finding the Third Proportional to 8,104 and 17,722

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Solution

The third proportional to 8,104 and 17,722 is: 38,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104 : 17,722 = 17,722 : x
  2. Step 2: Convert to fraction form
    8,104/17,722 = 17,722/x
  3. Step 3: Cross multiply
    8,104x = 17,722 × 17,722
  4. Step 4: Simplify right side
    8,104x = 314,069,284
  5. Step 5: Solve for x
    x = 314,069,284/8,104
  6. Step 6: Final answer
    x = 38,754.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.