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Finding the Third Proportional to 11,850.52 and 25,160.47

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Solution

The third proportional to 11,850.52 and 25,160.47 is: 53,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.52 : 25,160.47 = 25,160.47 : x
  2. Step 2: Convert to fraction form
    11,850.52/25,160.47 = 25,160.47/x
  3. Step 3: Cross multiply
    11,850.52x = 25,160.47 × 25,160.47
  4. Step 4: Simplify right side
    11,850.52x = 633,049,089.44
  5. Step 5: Solve for x
    x = 633,049,089.44/11,850.52
  6. Step 6: Final answer
    x = 53,419.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.