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Finding the Third Proportional to 13,661 and 20,030

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Solution

The third proportional to 13,661 and 20,030 is: 29,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661 : 20,030 = 20,030 : x
  2. Step 2: Convert to fraction form
    13,661/20,030 = 20,030/x
  3. Step 3: Cross multiply
    13,661x = 20,030 × 20,030
  4. Step 4: Simplify right side
    13,661x = 401,200,900
  5. Step 5: Solve for x
    x = 401,200,900/13,661
  6. Step 6: Final answer
    x = 29,368.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.