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Finding the Third Proportional to 38,991 and 55,759

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Solution

The third proportional to 38,991 and 55,759 is: 79,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,991 : 55,759 = 55,759 : x
  2. Step 2: Convert to fraction form
    38,991/55,759 = 55,759/x
  3. Step 3: Cross multiply
    38,991x = 55,759 × 55,759
  4. Step 4: Simplify right side
    38,991x = 3,109,066,081
  5. Step 5: Solve for x
    x = 3,109,066,081/38,991
  6. Step 6: Final answer
    x = 79,738.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.