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Finding the Third Proportional to 10,872.09 and 23,352.56

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Solution

The third proportional to 10,872.09 and 23,352.56 is: 50,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.09 : 23,352.56 = 23,352.56 : x
  2. Step 2: Convert to fraction form
    10,872.09/23,352.56 = 23,352.56/x
  3. Step 3: Cross multiply
    10,872.09x = 23,352.56 × 23,352.56
  4. Step 4: Simplify right side
    10,872.09x = 545,342,175.32
  5. Step 5: Solve for x
    x = 545,342,175.32/10,872.09
  6. Step 6: Final answer
    x = 50,159.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.