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Finding the Third Proportional to 23,922 and 52,596

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Solution

The third proportional to 23,922 and 52,596 is: 115,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922 : 52,596 = 52,596 : x
  2. Step 2: Convert to fraction form
    23,922/52,596 = 52,596/x
  3. Step 3: Cross multiply
    23,922x = 52,596 × 52,596
  4. Step 4: Simplify right side
    23,922x = 2,766,339,216
  5. Step 5: Solve for x
    x = 2,766,339,216/23,922
  6. Step 6: Final answer
    x = 115,639.96

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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.