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Finding the Third Proportional to 17,190 and 36,414

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Solution

The third proportional to 17,190 and 36,414 is: 77,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,190 : 36,414 = 36,414 : x
  2. Step 2: Convert to fraction form
    17,190/36,414 = 36,414/x
  3. Step 3: Cross multiply
    17,190x = 36,414 × 36,414
  4. Step 4: Simplify right side
    17,190x = 1,325,979,396
  5. Step 5: Solve for x
    x = 1,325,979,396/17,190
  6. Step 6: Final answer
    x = 77,136.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.