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Finding the Third Proportional to 25,193.50 and 54,923

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Solution

The third proportional to 25,193.50 and 54,923 is: 119,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.50 : 54,923 = 54,923 : x
  2. Step 2: Convert to fraction form
    25,193.50/54,923 = 54,923/x
  3. Step 3: Cross multiply
    25,193.50x = 54,923 × 54,923
  4. Step 4: Simplify right side
    25,193.50x = 3,016,535,929
  5. Step 5: Solve for x
    x = 3,016,535,929/25,193.50
  6. Step 6: Final answer
    x = 119,734.69

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Why These Related Problems?

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