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Finding the Third Proportional to 12,868 and 14,794

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Solution

The third proportional to 12,868 and 14,794 is: 17,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868 : 14,794 = 14,794 : x
  2. Step 2: Convert to fraction form
    12,868/14,794 = 14,794/x
  3. Step 3: Cross multiply
    12,868x = 14,794 × 14,794
  4. Step 4: Simplify right side
    12,868x = 218,862,436
  5. Step 5: Solve for x
    x = 218,862,436/12,868
  6. Step 6: Final answer
    x = 17,008.27

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.