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Finding the Third Proportional to 22,708.13 and 52,769.25

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Solution

The third proportional to 22,708.13 and 52,769.25 is: 122,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.13 : 52,769.25 = 52,769.25 : x
  2. Step 2: Convert to fraction form
    22,708.13/52,769.25 = 52,769.25/x
  3. Step 3: Cross multiply
    22,708.13x = 52,769.25 × 52,769.25
  4. Step 4: Simplify right side
    22,708.13x = 2,784,593,745.56
  5. Step 5: Solve for x
    x = 2,784,593,745.56/22,708.13
  6. Step 6: Final answer
    x = 122,625.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.