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Finding the Third Proportional to 12,927 and 19,147

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Solution

The third proportional to 12,927 and 19,147 is: 28,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927 : 19,147 = 19,147 : x
  2. Step 2: Convert to fraction form
    12,927/19,147 = 19,147/x
  3. Step 3: Cross multiply
    12,927x = 19,147 × 19,147
  4. Step 4: Simplify right side
    12,927x = 366,607,609
  5. Step 5: Solve for x
    x = 366,607,609/12,927
  6. Step 6: Final answer
    x = 28,359.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.