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Finding the Third Proportional to 38,866.50 and 80,653.50

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Solution

The third proportional to 38,866.50 and 80,653.50 is: 167,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,866.50 : 80,653.50 = 80,653.50 : x
  2. Step 2: Convert to fraction form
    38,866.50/80,653.50 = 80,653.50/x
  3. Step 3: Cross multiply
    38,866.50x = 80,653.50 × 80,653.50
  4. Step 4: Simplify right side
    38,866.50x = 6,504,987,062.25
  5. Step 5: Solve for x
    x = 6,504,987,062.25/38,866.50
  6. Step 6: Final answer
    x = 167,367.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.