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Finding the Third Proportional to 11,727.28 and 17,592.19

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Solution

The third proportional to 11,727.28 and 17,592.19 is: 26,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.28 : 17,592.19 = 17,592.19 : x
  2. Step 2: Convert to fraction form
    11,727.28/17,592.19 = 17,592.19/x
  3. Step 3: Cross multiply
    11,727.28x = 17,592.19 × 17,592.19
  4. Step 4: Simplify right side
    11,727.28x = 309,485,061.04
  5. Step 5: Solve for x
    x = 309,485,061.04/11,727.28
  6. Step 6: Final answer
    x = 26,390.18

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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.