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Finding the Third Proportional to 38,661.75 and 81,474.75

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Solution

The third proportional to 38,661.75 and 81,474.75 is: 171,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,661.75 : 81,474.75 = 81,474.75 : x
  2. Step 2: Convert to fraction form
    38,661.75/81,474.75 = 81,474.75/x
  3. Step 3: Cross multiply
    38,661.75x = 81,474.75 × 81,474.75
  4. Step 4: Simplify right side
    38,661.75x = 6,638,134,887.56
  5. Step 5: Solve for x
    x = 6,638,134,887.56/38,661.75
  6. Step 6: Final answer
    x = 171,697.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.