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Finding the Third Proportional to 16,406 and 36,094

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Solution

The third proportional to 16,406 and 36,094 is: 79,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406 : 36,094 = 36,094 : x
  2. Step 2: Convert to fraction form
    16,406/36,094 = 36,094/x
  3. Step 3: Cross multiply
    16,406x = 36,094 × 36,094
  4. Step 4: Simplify right side
    16,406x = 1,302,776,836
  5. Step 5: Solve for x
    x = 1,302,776,836/16,406
  6. Step 6: Final answer
    x = 79,408.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.