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Finding the Third Proportional to 38,861.44 and 83,055.38

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Solution

The third proportional to 38,861.44 and 83,055.38 is: 177,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,861.44 : 83,055.38 = 83,055.38 : x
  2. Step 2: Convert to fraction form
    38,861.44/83,055.38 = 83,055.38/x
  3. Step 3: Cross multiply
    38,861.44x = 83,055.38 × 83,055.38
  4. Step 4: Simplify right side
    38,861.44x = 6,898,195,316.39
  5. Step 5: Solve for x
    x = 6,898,195,316.39/38,861.44
  6. Step 6: Final answer
    x = 177,507.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.