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Finding the Third Proportional to 11,083.50 and 23,725.13

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Solution

The third proportional to 11,083.50 and 23,725.13 is: 50,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.50 : 23,725.13 = 23,725.13 : x
  2. Step 2: Convert to fraction form
    11,083.50/23,725.13 = 23,725.13/x
  3. Step 3: Cross multiply
    11,083.50x = 23,725.13 × 23,725.13
  4. Step 4: Simplify right side
    11,083.50x = 562,881,556.27
  5. Step 5: Solve for x
    x = 562,881,556.27/11,083.50
  6. Step 6: Final answer
    x = 50,785.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.