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Finding the Third Proportional to 13,101 and 19,611

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Solution

The third proportional to 13,101 and 19,611 is: 29,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101 : 19,611 = 19,611 : x
  2. Step 2: Convert to fraction form
    13,101/19,611 = 19,611/x
  3. Step 3: Cross multiply
    13,101x = 19,611 × 19,611
  4. Step 4: Simplify right side
    13,101x = 384,591,321
  5. Step 5: Solve for x
    x = 384,591,321/13,101
  6. Step 6: Final answer
    x = 29,355.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.