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Finding the Third Proportional to 20,635.07 and 30,998.16

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Solution

The third proportional to 20,635.07 and 30,998.16 is: 46,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.07 : 30,998.16 = 30,998.16 : x
  2. Step 2: Convert to fraction form
    20,635.07/30,998.16 = 30,998.16/x
  3. Step 3: Cross multiply
    20,635.07x = 30,998.16 × 30,998.16
  4. Step 4: Simplify right side
    20,635.07x = 960,886,054.16
  5. Step 5: Solve for x
    x = 960,886,054.16/20,635.07
  6. Step 6: Final answer
    x = 46,565.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.