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Finding the Third Proportional to 16,876 and 26,823

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Solution

The third proportional to 16,876 and 26,823 is: 42,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876 : 26,823 = 26,823 : x
  2. Step 2: Convert to fraction form
    16,876/26,823 = 26,823/x
  3. Step 3: Cross multiply
    16,876x = 26,823 × 26,823
  4. Step 4: Simplify right side
    16,876x = 719,473,329
  5. Step 5: Solve for x
    x = 719,473,329/16,876
  6. Step 6: Final answer
    x = 42,632.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.