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Finding the Third Proportional to 23,552.25 and 51,753

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Solution

The third proportional to 23,552.25 and 51,753 is: 113,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,552.25 : 51,753 = 51,753 : x
  2. Step 2: Convert to fraction form
    23,552.25/51,753 = 51,753/x
  3. Step 3: Cross multiply
    23,552.25x = 51,753 × 51,753
  4. Step 4: Simplify right side
    23,552.25x = 2,678,373,009
  5. Step 5: Solve for x
    x = 2,678,373,009/23,552.25
  6. Step 6: Final answer
    x = 113,720.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.