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Finding the Third Proportional to 11,679.19 and 25,051.78

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Solution

The third proportional to 11,679.19 and 25,051.78 is: 53,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.19 : 25,051.78 = 25,051.78 : x
  2. Step 2: Convert to fraction form
    11,679.19/25,051.78 = 25,051.78/x
  3. Step 3: Cross multiply
    11,679.19x = 25,051.78 × 25,051.78
  4. Step 4: Simplify right side
    11,679.19x = 627,591,743.80
  5. Step 5: Solve for x
    x = 627,591,743.80/11,679.19
  6. Step 6: Final answer
    x = 53,735.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.