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Finding the Third Proportional to 3,680.12 and 8,047.48

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Solution

The third proportional to 3,680.12 and 8,047.48 is: 17,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.12 : 8,047.48 = 8,047.48 : x
  2. Step 2: Convert to fraction form
    3,680.12/8,047.48 = 8,047.48/x
  3. Step 3: Cross multiply
    3,680.12x = 8,047.48 × 8,047.48
  4. Step 4: Simplify right side
    3,680.12x = 64,761,879.02
  5. Step 5: Solve for x
    x = 64,761,879.02/3,680.12
  6. Step 6: Final answer
    x = 17,597.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.