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Finding the Third Proportional to 10,689 and 16,794

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Solution

The third proportional to 10,689 and 16,794 is: 26,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689 : 16,794 = 16,794 : x
  2. Step 2: Convert to fraction form
    10,689/16,794 = 16,794/x
  3. Step 3: Cross multiply
    10,689x = 16,794 × 16,794
  4. Step 4: Simplify right side
    10,689x = 282,038,436
  5. Step 5: Solve for x
    x = 282,038,436/10,689
  6. Step 6: Final answer
    x = 26,385.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.