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Finding the Third Proportional to 38,466.75 and 83,490.75

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Solution

The third proportional to 38,466.75 and 83,490.75 is: 181,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.75 : 83,490.75 = 83,490.75 : x
  2. Step 2: Convert to fraction form
    38,466.75/83,490.75 = 83,490.75/x
  3. Step 3: Cross multiply
    38,466.75x = 83,490.75 × 83,490.75
  4. Step 4: Simplify right side
    38,466.75x = 6,970,705,335.56
  5. Step 5: Solve for x
    x = 6,970,705,335.56/38,466.75
  6. Step 6: Final answer
    x = 181,213.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.