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Finding the Third Proportional to 38,414.25 and 78,725.25

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Solution

The third proportional to 38,414.25 and 78,725.25 is: 161,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.25 : 78,725.25 = 78,725.25 : x
  2. Step 2: Convert to fraction form
    38,414.25/78,725.25 = 78,725.25/x
  3. Step 3: Cross multiply
    38,414.25x = 78,725.25 × 78,725.25
  4. Step 4: Simplify right side
    38,414.25x = 6,197,664,987.56
  5. Step 5: Solve for x
    x = 6,197,664,987.56/38,414.25
  6. Step 6: Final answer
    x = 161,337.65

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.