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Finding the Third Proportional to 12,827 and 19,189

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Solution

The third proportional to 12,827 and 19,189 is: 28,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827 : 19,189 = 19,189 : x
  2. Step 2: Convert to fraction form
    12,827/19,189 = 19,189/x
  3. Step 3: Cross multiply
    12,827x = 19,189 × 19,189
  4. Step 4: Simplify right side
    12,827x = 368,217,721
  5. Step 5: Solve for x
    x = 368,217,721/12,827
  6. Step 6: Final answer
    x = 28,706.46

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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.