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Finding the Third Proportional to 9,035.14 and 19,620.83

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Solution

The third proportional to 9,035.14 and 19,620.83 is: 42,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.14 : 19,620.83 = 19,620.83 : x
  2. Step 2: Convert to fraction form
    9,035.14/19,620.83 = 19,620.83/x
  3. Step 3: Cross multiply
    9,035.14x = 19,620.83 × 19,620.83
  4. Step 4: Simplify right side
    9,035.14x = 384,976,819.67
  5. Step 5: Solve for x
    x = 384,976,819.67/9,035.14
  6. Step 6: Final answer
    x = 42,608.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.