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Finding the Third Proportional to 11,049.38 and 23,863.69

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Solution

The third proportional to 11,049.38 and 23,863.69 is: 51,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.38 : 23,863.69 = 23,863.69 : x
  2. Step 2: Convert to fraction form
    11,049.38/23,863.69 = 23,863.69/x
  3. Step 3: Cross multiply
    11,049.38x = 23,863.69 × 23,863.69
  4. Step 4: Simplify right side
    11,049.38x = 569,475,581.10
  5. Step 5: Solve for x
    x = 569,475,581.10/11,049.38
  6. Step 6: Final answer
    x = 51,539.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.