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Finding the Third Proportional to 8,324 and 18,134

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Solution

The third proportional to 8,324 and 18,134 is: 39,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324 : 18,134 = 18,134 : x
  2. Step 2: Convert to fraction form
    8,324/18,134 = 18,134/x
  3. Step 3: Cross multiply
    8,324x = 18,134 × 18,134
  4. Step 4: Simplify right side
    8,324x = 328,841,956
  5. Step 5: Solve for x
    x = 328,841,956/8,324
  6. Step 6: Final answer
    x = 39,505.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.