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Finding the Third Proportional to 12,876 and 19,345

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Solution

The third proportional to 12,876 and 19,345 is: 29,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876 : 19,345 = 19,345 : x
  2. Step 2: Convert to fraction form
    12,876/19,345 = 19,345/x
  3. Step 3: Cross multiply
    12,876x = 19,345 × 19,345
  4. Step 4: Simplify right side
    12,876x = 374,229,025
  5. Step 5: Solve for x
    x = 374,229,025/12,876
  6. Step 6: Final answer
    x = 29,064.07

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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.