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Finding the Third Proportional to 3,414 and 5,670

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Solution

The third proportional to 3,414 and 5,670 is: 9,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414 : 5,670 = 5,670 : x
  2. Step 2: Convert to fraction form
    3,414/5,670 = 5,670/x
  3. Step 3: Cross multiply
    3,414x = 5,670 × 5,670
  4. Step 4: Simplify right side
    3,414x = 32,148,900
  5. Step 5: Solve for x
    x = 32,148,900/3,414
  6. Step 6: Final answer
    x = 9,416.78

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.