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Finding the Third Proportional to 8,156 and 17,411

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Solution

The third proportional to 8,156 and 17,411 is: 37,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156 : 17,411 = 17,411 : x
  2. Step 2: Convert to fraction form
    8,156/17,411 = 17,411/x
  3. Step 3: Cross multiply
    8,156x = 17,411 × 17,411
  4. Step 4: Simplify right side
    8,156x = 303,142,921
  5. Step 5: Solve for x
    x = 303,142,921/8,156
  6. Step 6: Final answer
    x = 37,168.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.