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Finding the Third Proportional to 9,721.69 and 13,764.94

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Solution

The third proportional to 9,721.69 and 13,764.94 is: 19,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.69 : 13,764.94 = 13,764.94 : x
  2. Step 2: Convert to fraction form
    9,721.69/13,764.94 = 13,764.94/x
  3. Step 3: Cross multiply
    9,721.69x = 13,764.94 × 13,764.94
  4. Step 4: Simplify right side
    9,721.69x = 189,473,504.38
  5. Step 5: Solve for x
    x = 189,473,504.38/9,721.69
  6. Step 6: Final answer
    x = 19,489.78

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.