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Finding the Third Proportional to 16,726 and 22,936

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Solution

The third proportional to 16,726 and 22,936 is: 31,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,726 : 22,936 = 22,936 : x
  2. Step 2: Convert to fraction form
    16,726/22,936 = 22,936/x
  3. Step 3: Cross multiply
    16,726x = 22,936 × 22,936
  4. Step 4: Simplify right side
    16,726x = 526,060,096
  5. Step 5: Solve for x
    x = 526,060,096/16,726
  6. Step 6: Final answer
    x = 31,451.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.