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Finding the Third Proportional to 23,660.25 and 52,241.25

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Solution

The third proportional to 23,660.25 and 52,241.25 is: 115,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,660.25 : 52,241.25 = 52,241.25 : x
  2. Step 2: Convert to fraction form
    23,660.25/52,241.25 = 52,241.25/x
  3. Step 3: Cross multiply
    23,660.25x = 52,241.25 × 52,241.25
  4. Step 4: Simplify right side
    23,660.25x = 2,729,148,201.56
  5. Step 5: Solve for x
    x = 2,729,148,201.56/23,660.25
  6. Step 6: Final answer
    x = 115,347.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.