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Finding the Third Proportional to 19,946.25 and 30,351.38

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Solution

The third proportional to 19,946.25 and 30,351.38 is: 46,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,946.25 : 30,351.38 = 30,351.38 : x
  2. Step 2: Convert to fraction form
    19,946.25/30,351.38 = 30,351.38/x
  3. Step 3: Cross multiply
    19,946.25x = 30,351.38 × 30,351.38
  4. Step 4: Simplify right side
    19,946.25x = 921,205,964.39
  5. Step 5: Solve for x
    x = 921,205,964.39/19,946.25
  6. Step 6: Final answer
    x = 46,184.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.