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Finding the Third Proportional to 11,704.50 and 25,352.25

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Solution

The third proportional to 11,704.50 and 25,352.25 is: 54,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.50 : 25,352.25 = 25,352.25 : x
  2. Step 2: Convert to fraction form
    11,704.50/25,352.25 = 25,352.25/x
  3. Step 3: Cross multiply
    11,704.50x = 25,352.25 × 25,352.25
  4. Step 4: Simplify right side
    11,704.50x = 642,736,580.06
  5. Step 5: Solve for x
    x = 642,736,580.06/11,704.50
  6. Step 6: Final answer
    x = 54,913.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.