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Finding the Third Proportional to 15,906 and 23,849.25

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Solution

The third proportional to 15,906 and 23,849.25 is: 35,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906 : 23,849.25 = 23,849.25 : x
  2. Step 2: Convert to fraction form
    15,906/23,849.25 = 23,849.25/x
  3. Step 3: Cross multiply
    15,906x = 23,849.25 × 23,849.25
  4. Step 4: Simplify right side
    15,906x = 568,786,725.56
  5. Step 5: Solve for x
    x = 568,786,725.56/15,906
  6. Step 6: Final answer
    x = 35,759.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.