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Finding the Third Proportional to 38,033.30 and 81,670.78

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Solution

The third proportional to 38,033.30 and 81,670.78 is: 175,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,033.30 : 81,670.78 = 81,670.78 : x
  2. Step 2: Convert to fraction form
    38,033.30/81,670.78 = 81,670.78/x
  3. Step 3: Cross multiply
    38,033.30x = 81,670.78 × 81,670.78
  4. Step 4: Simplify right side
    38,033.30x = 6,670,116,509.99
  5. Step 5: Solve for x
    x = 6,670,116,509.99/38,033.30
  6. Step 6: Final answer
    x = 175,375.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.