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Finding the Third Proportional to 15,554 and 23,907

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Solution

The third proportional to 15,554 and 23,907 is: 36,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,554 : 23,907 = 23,907 : x
  2. Step 2: Convert to fraction form
    15,554/23,907 = 23,907/x
  3. Step 3: Cross multiply
    15,554x = 23,907 × 23,907
  4. Step 4: Simplify right side
    15,554x = 571,544,649
  5. Step 5: Solve for x
    x = 571,544,649/15,554
  6. Step 6: Final answer
    x = 36,745.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.