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Finding the Third Proportional to 12,578 and 18,801

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Solution

The third proportional to 12,578 and 18,801 is: 28,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578 : 18,801 = 18,801 : x
  2. Step 2: Convert to fraction form
    12,578/18,801 = 18,801/x
  3. Step 3: Cross multiply
    12,578x = 18,801 × 18,801
  4. Step 4: Simplify right side
    12,578x = 353,477,601
  5. Step 5: Solve for x
    x = 353,477,601/12,578
  6. Step 6: Final answer
    x = 28,102.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.