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Finding the Third Proportional to 25,409 and 55,846

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Solution

The third proportional to 25,409 and 55,846 is: 122,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,409 : 55,846 = 55,846 : x
  2. Step 2: Convert to fraction form
    25,409/55,846 = 55,846/x
  3. Step 3: Cross multiply
    25,409x = 55,846 × 55,846
  4. Step 4: Simplify right side
    25,409x = 3,118,775,716
  5. Step 5: Solve for x
    x = 3,118,775,716/25,409
  6. Step 6: Final answer
    x = 122,742.95

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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.