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Finding the Third Proportional to 6,944 and 15,856

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Solution

The third proportional to 6,944 and 15,856 is: 36,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 15,856 = 15,856 : x
  2. Step 2: Convert to fraction form
    6,944/15,856 = 15,856/x
  3. Step 3: Cross multiply
    6,944x = 15,856 × 15,856
  4. Step 4: Simplify right side
    6,944x = 251,412,736
  5. Step 5: Solve for x
    x = 251,412,736/6,944
  6. Step 6: Final answer
    x = 36,205.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.