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Finding the Third Proportional to 9,214 and 19,670

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Solution

The third proportional to 9,214 and 19,670 is: 41,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214 : 19,670 = 19,670 : x
  2. Step 2: Convert to fraction form
    9,214/19,670 = 19,670/x
  3. Step 3: Cross multiply
    9,214x = 19,670 × 19,670
  4. Step 4: Simplify right side
    9,214x = 386,908,900
  5. Step 5: Solve for x
    x = 386,908,900/9,214
  6. Step 6: Final answer
    x = 41,991.42

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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.