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Finding the Third Proportional to 9,471.94 and 20,786.63

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Solution

The third proportional to 9,471.94 and 20,786.63 is: 45,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.94 : 20,786.63 = 20,786.63 : x
  2. Step 2: Convert to fraction form
    9,471.94/20,786.63 = 20,786.63/x
  3. Step 3: Cross multiply
    9,471.94x = 20,786.63 × 20,786.63
  4. Step 4: Simplify right side
    9,471.94x = 432,083,778.89
  5. Step 5: Solve for x
    x = 432,083,778.89/9,471.94
  6. Step 6: Final answer
    x = 45,617.25

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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.