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Finding the Third Proportional to 6,944 and 16,100

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Solution

The third proportional to 6,944 and 16,100 is: 37,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 16,100 = 16,100 : x
  2. Step 2: Convert to fraction form
    6,944/16,100 = 16,100/x
  3. Step 3: Cross multiply
    6,944x = 16,100 × 16,100
  4. Step 4: Simplify right side
    6,944x = 259,210,000
  5. Step 5: Solve for x
    x = 259,210,000/6,944
  6. Step 6: Final answer
    x = 37,328.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.