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Finding the Third Proportional to 13,599 and 19,150

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Solution

The third proportional to 13,599 and 19,150 is: 26,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599 : 19,150 = 19,150 : x
  2. Step 2: Convert to fraction form
    13,599/19,150 = 19,150/x
  3. Step 3: Cross multiply
    13,599x = 19,150 × 19,150
  4. Step 4: Simplify right side
    13,599x = 366,722,500
  5. Step 5: Solve for x
    x = 366,722,500/13,599
  6. Step 6: Final answer
    x = 26,966.87

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.