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Finding the Third Proportional to 38,585.25 and 78,243.75

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Solution

The third proportional to 38,585.25 and 78,243.75 is: 158,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585.25 : 78,243.75 = 78,243.75 : x
  2. Step 2: Convert to fraction form
    38,585.25/78,243.75 = 78,243.75/x
  3. Step 3: Cross multiply
    38,585.25x = 78,243.75 × 78,243.75
  4. Step 4: Simplify right side
    38,585.25x = 6,122,084,414.06
  5. Step 5: Solve for x
    x = 6,122,084,414.06/38,585.25
  6. Step 6: Final answer
    x = 158,663.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.