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Finding the Third Proportional to 26,653.50 and 54,223.50

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Solution

The third proportional to 26,653.50 and 54,223.50 is: 110,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,653.50 : 54,223.50 = 54,223.50 : x
  2. Step 2: Convert to fraction form
    26,653.50/54,223.50 = 54,223.50/x
  3. Step 3: Cross multiply
    26,653.50x = 54,223.50 × 54,223.50
  4. Step 4: Simplify right side
    26,653.50x = 2,940,187,952.25
  5. Step 5: Solve for x
    x = 2,940,187,952.25/26,653.50
  6. Step 6: Final answer
    x = 110,311.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.