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Finding the Third Proportional to 12,213 and 18,105.75

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Solution

The third proportional to 12,213 and 18,105.75 is: 26,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213 : 18,105.75 = 18,105.75 : x
  2. Step 2: Convert to fraction form
    12,213/18,105.75 = 18,105.75/x
  3. Step 3: Cross multiply
    12,213x = 18,105.75 × 18,105.75
  4. Step 4: Simplify right side
    12,213x = 327,818,183.06
  5. Step 5: Solve for x
    x = 327,818,183.06/12,213
  6. Step 6: Final answer
    x = 26,841.74

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.