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Finding the Third Proportional to 11,037.38 and 23,916.38

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Solution

The third proportional to 11,037.38 and 23,916.38 is: 51,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,037.38 : 23,916.38 = 23,916.38 : x
  2. Step 2: Convert to fraction form
    11,037.38/23,916.38 = 23,916.38/x
  3. Step 3: Cross multiply
    11,037.38x = 23,916.38 × 23,916.38
  4. Step 4: Simplify right side
    11,037.38x = 571,992,993.14
  5. Step 5: Solve for x
    x = 571,992,993.14/11,037.38
  6. Step 6: Final answer
    x = 51,823.28

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Why These Related Problems?

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