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Finding the Third Proportional to 25,322 and 55,741

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Solution

The third proportional to 25,322 and 55,741 is: 122,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,322 : 55,741 = 55,741 : x
  2. Step 2: Convert to fraction form
    25,322/55,741 = 55,741/x
  3. Step 3: Cross multiply
    25,322x = 55,741 × 55,741
  4. Step 4: Simplify right side
    25,322x = 3,107,059,081
  5. Step 5: Solve for x
    x = 3,107,059,081/25,322
  6. Step 6: Final answer
    x = 122,701.96

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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.