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Finding the Third Proportional to 3,946 and 8,670

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Solution

The third proportional to 3,946 and 8,670 is: 19,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946 : 8,670 = 8,670 : x
  2. Step 2: Convert to fraction form
    3,946/8,670 = 8,670/x
  3. Step 3: Cross multiply
    3,946x = 8,670 × 8,670
  4. Step 4: Simplify right side
    3,946x = 75,168,900
  5. Step 5: Solve for x
    x = 75,168,900/3,946
  6. Step 6: Final answer
    x = 19,049.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.