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Finding the Third Proportional to 11,764.62 and 25,672.57

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Solution

The third proportional to 11,764.62 and 25,672.57 is: 56,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.62 : 25,672.57 = 25,672.57 : x
  2. Step 2: Convert to fraction form
    11,764.62/25,672.57 = 25,672.57/x
  3. Step 3: Cross multiply
    11,764.62x = 25,672.57 × 25,672.57
  4. Step 4: Simplify right side
    11,764.62x = 659,080,866.45
  5. Step 5: Solve for x
    x = 659,080,866.45/11,764.62
  6. Step 6: Final answer
    x = 56,022.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.