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Finding the Third Proportional to 38,154.75 and 81,845.44

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Solution

The third proportional to 38,154.75 and 81,845.44 is: 175,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154.75 : 81,845.44 = 81,845.44 : x
  2. Step 2: Convert to fraction form
    38,154.75/81,845.44 = 81,845.44/x
  3. Step 3: Cross multiply
    38,154.75x = 81,845.44 × 81,845.44
  4. Step 4: Simplify right side
    38,154.75x = 6,698,675,639.57
  5. Step 5: Solve for x
    x = 6,698,675,639.57/38,154.75
  6. Step 6: Final answer
    x = 175,565.97

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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.