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Finding the Third Proportional to 11,516.06 and 24,192.56

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Solution

The third proportional to 11,516.06 and 24,192.56 is: 50,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.06 : 24,192.56 = 24,192.56 : x
  2. Step 2: Convert to fraction form
    11,516.06/24,192.56 = 24,192.56/x
  3. Step 3: Cross multiply
    11,516.06x = 24,192.56 × 24,192.56
  4. Step 4: Simplify right side
    11,516.06x = 585,280,080.32
  5. Step 5: Solve for x
    x = 585,280,080.32/11,516.06
  6. Step 6: Final answer
    x = 50,822.93

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.