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Finding the Third Proportional to 23,809.25 and 52,295.78

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Solution

The third proportional to 23,809.25 and 52,295.78 is: 114,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.25 : 52,295.78 = 52,295.78 : x
  2. Step 2: Convert to fraction form
    23,809.25/52,295.78 = 52,295.78/x
  3. Step 3: Cross multiply
    23,809.25x = 52,295.78 × 52,295.78
  4. Step 4: Simplify right side
    23,809.25x = 2,734,848,940.83
  5. Step 5: Solve for x
    x = 2,734,848,940.83/23,809.25
  6. Step 6: Final answer
    x = 114,864.96

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