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Finding the Third Proportional to 25,381 and 55,698

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Solution

The third proportional to 25,381 and 55,698 is: 122,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,381 : 55,698 = 55,698 : x
  2. Step 2: Convert to fraction form
    25,381/55,698 = 55,698/x
  3. Step 3: Cross multiply
    25,381x = 55,698 × 55,698
  4. Step 4: Simplify right side
    25,381x = 3,102,267,204
  5. Step 5: Solve for x
    x = 3,102,267,204/25,381
  6. Step 6: Final answer
    x = 122,227.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.