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Finding the Third Proportional to 10,960.13 and 23,764.69

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Solution

The third proportional to 10,960.13 and 23,764.69 is: 51,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.13 : 23,764.69 = 23,764.69 : x
  2. Step 2: Convert to fraction form
    10,960.13/23,764.69 = 23,764.69/x
  3. Step 3: Cross multiply
    10,960.13x = 23,764.69 × 23,764.69
  4. Step 4: Simplify right side
    10,960.13x = 564,760,371.97
  5. Step 5: Solve for x
    x = 564,760,371.97/10,960.13
  6. Step 6: Final answer
    x = 51,528.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.