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Finding the Third Proportional to 9,470.25 and 13,863.38

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Solution

The third proportional to 9,470.25 and 13,863.38 is: 20,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.25 : 13,863.38 = 13,863.38 : x
  2. Step 2: Convert to fraction form
    9,470.25/13,863.38 = 13,863.38/x
  3. Step 3: Cross multiply
    9,470.25x = 13,863.38 × 13,863.38
  4. Step 4: Simplify right side
    9,470.25x = 192,193,166.39
  5. Step 5: Solve for x
    x = 192,193,166.39/9,470.25
  6. Step 6: Final answer
    x = 20,294.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.