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Finding the Third Proportional to 12,573 and 18,861

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Solution

The third proportional to 12,573 and 18,861 is: 28,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573 : 18,861 = 18,861 : x
  2. Step 2: Convert to fraction form
    12,573/18,861 = 18,861/x
  3. Step 3: Cross multiply
    12,573x = 18,861 × 18,861
  4. Step 4: Simplify right side
    12,573x = 355,737,321
  5. Step 5: Solve for x
    x = 355,737,321/12,573
  6. Step 6: Final answer
    x = 28,293.75

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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.