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Finding the Third Proportional to 13,948 and 30,661

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Solution

The third proportional to 13,948 and 30,661 is: 67,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948 : 30,661 = 30,661 : x
  2. Step 2: Convert to fraction form
    13,948/30,661 = 30,661/x
  3. Step 3: Cross multiply
    13,948x = 30,661 × 30,661
  4. Step 4: Simplify right side
    13,948x = 940,096,921
  5. Step 5: Solve for x
    x = 940,096,921/13,948
  6. Step 6: Final answer
    x = 67,400.12

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