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Finding the Third Proportional to 9,077.91 and 19,451.81

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Solution

The third proportional to 9,077.91 and 19,451.81 is: 41,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.91 : 19,451.81 = 19,451.81 : x
  2. Step 2: Convert to fraction form
    9,077.91/19,451.81 = 19,451.81/x
  3. Step 3: Cross multiply
    9,077.91x = 19,451.81 × 19,451.81
  4. Step 4: Simplify right side
    9,077.91x = 378,373,009.54
  5. Step 5: Solve for x
    x = 378,373,009.54/9,077.91
  6. Step 6: Final answer
    x = 41,680.65

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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.