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Finding the Third Proportional to 8,184 and 17,634

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Solution

The third proportional to 8,184 and 17,634 is: 37,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 17,634 = 17,634 : x
  2. Step 2: Convert to fraction form
    8,184/17,634 = 17,634/x
  3. Step 3: Cross multiply
    8,184x = 17,634 × 17,634
  4. Step 4: Simplify right side
    8,184x = 310,957,956
  5. Step 5: Solve for x
    x = 310,957,956/8,184
  6. Step 6: Final answer
    x = 37,995.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.