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Finding the Third Proportional to 16,120 and 35,899

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Solution

The third proportional to 16,120 and 35,899 is: 79,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120 : 35,899 = 35,899 : x
  2. Step 2: Convert to fraction form
    16,120/35,899 = 35,899/x
  3. Step 3: Cross multiply
    16,120x = 35,899 × 35,899
  4. Step 4: Simplify right side
    16,120x = 1,288,738,201
  5. Step 5: Solve for x
    x = 1,288,738,201/16,120
  6. Step 6: Final answer
    x = 79,946.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.