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Finding the Third Proportional to 38,879.63 and 83,287.13

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Solution

The third proportional to 38,879.63 and 83,287.13 is: 178,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,879.63 : 83,287.13 = 83,287.13 : x
  2. Step 2: Convert to fraction form
    38,879.63/83,287.13 = 83,287.13/x
  3. Step 3: Cross multiply
    38,879.63x = 83,287.13 × 83,287.13
  4. Step 4: Simplify right side
    38,879.63x = 6,936,745,190.77
  5. Step 5: Solve for x
    x = 6,936,745,190.77/38,879.63
  6. Step 6: Final answer
    x = 178,415.95

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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.