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Finding the Third Proportional to 38,802 and 58,923

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Solution

The third proportional to 38,802 and 58,923 is: 89,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,802 : 58,923 = 58,923 : x
  2. Step 2: Convert to fraction form
    38,802/58,923 = 58,923/x
  3. Step 3: Cross multiply
    38,802x = 58,923 × 58,923
  4. Step 4: Simplify right side
    38,802x = 3,471,919,929
  5. Step 5: Solve for x
    x = 3,471,919,929/38,802
  6. Step 6: Final answer
    x = 89,477.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.