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Finding the Third Proportional to 11,986.26 and 25,210.78

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Solution

The third proportional to 11,986.26 and 25,210.78 is: 53,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.26 : 25,210.78 = 25,210.78 : x
  2. Step 2: Convert to fraction form
    11,986.26/25,210.78 = 25,210.78/x
  3. Step 3: Cross multiply
    11,986.26x = 25,210.78 × 25,210.78
  4. Step 4: Simplify right side
    11,986.26x = 635,583,195.80
  5. Step 5: Solve for x
    x = 635,583,195.80/11,986.26
  6. Step 6: Final answer
    x = 53,025.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.