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Finding the Third Proportional to 26,165.25 and 54,544.50

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Solution

The third proportional to 26,165.25 and 54,544.50 is: 113,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165.25 : 54,544.50 = 54,544.50 : x
  2. Step 2: Convert to fraction form
    26,165.25/54,544.50 = 54,544.50/x
  3. Step 3: Cross multiply
    26,165.25x = 54,544.50 × 54,544.50
  4. Step 4: Simplify right side
    26,165.25x = 2,975,102,480.25
  5. Step 5: Solve for x
    x = 2,975,102,480.25/26,165.25
  6. Step 6: Final answer
    x = 113,704.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.