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Finding the Third Proportional to 38,971.13 and 83,951.44

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Solution

The third proportional to 38,971.13 and 83,951.44 is: 180,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.13 : 83,951.44 = 83,951.44 : x
  2. Step 2: Convert to fraction form
    38,971.13/83,951.44 = 83,951.44/x
  3. Step 3: Cross multiply
    38,971.13x = 83,951.44 × 83,951.44
  4. Step 4: Simplify right side
    38,971.13x = 7,047,843,858.32
  5. Step 5: Solve for x
    x = 7,047,843,858.32/38,971.13
  6. Step 6: Final answer
    x = 180,847.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.