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Finding the Third Proportional to 9,214 and 12,008

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Solution

The third proportional to 9,214 and 12,008 is: 15,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214 : 12,008 = 12,008 : x
  2. Step 2: Convert to fraction form
    9,214/12,008 = 12,008/x
  3. Step 3: Cross multiply
    9,214x = 12,008 × 12,008
  4. Step 4: Simplify right side
    9,214x = 144,192,064
  5. Step 5: Solve for x
    x = 144,192,064/9,214
  6. Step 6: Final answer
    x = 15,649.24

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.