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Finding the Third Proportional to 9,434.25 and 19,939.50

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Solution

The third proportional to 9,434.25 and 19,939.50 is: 42,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.25 : 19,939.50 = 19,939.50 : x
  2. Step 2: Convert to fraction form
    9,434.25/19,939.50 = 19,939.50/x
  3. Step 3: Cross multiply
    9,434.25x = 19,939.50 × 19,939.50
  4. Step 4: Simplify right side
    9,434.25x = 397,583,660.25
  5. Step 5: Solve for x
    x = 397,583,660.25/9,434.25
  6. Step 6: Final answer
    x = 42,142.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.