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Finding the Third Proportional to 9,194.25 and 19,846.88

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Solution

The third proportional to 9,194.25 and 19,846.88 is: 42,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.25 : 19,846.88 = 19,846.88 : x
  2. Step 2: Convert to fraction form
    9,194.25/19,846.88 = 19,846.88/x
  3. Step 3: Cross multiply
    9,194.25x = 19,846.88 × 19,846.88
  4. Step 4: Simplify right side
    9,194.25x = 393,898,447.27
  5. Step 5: Solve for x
    x = 393,898,447.27/9,194.25
  6. Step 6: Final answer
    x = 42,841.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.