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Finding the Third Proportional to 19,260 and 30,801

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Solution

The third proportional to 19,260 and 30,801 is: 49,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,260 : 30,801 = 30,801 : x
  2. Step 2: Convert to fraction form
    19,260/30,801 = 30,801/x
  3. Step 3: Cross multiply
    19,260x = 30,801 × 30,801
  4. Step 4: Simplify right side
    19,260x = 948,701,601
  5. Step 5: Solve for x
    x = 948,701,601/19,260
  6. Step 6: Final answer
    x = 49,257.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.