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Finding the Third Proportional to 6,944 and 12,328

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Solution

The third proportional to 6,944 and 12,328 is: 21,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 12,328 = 12,328 : x
  2. Step 2: Convert to fraction form
    6,944/12,328 = 12,328/x
  3. Step 3: Cross multiply
    6,944x = 12,328 × 12,328
  4. Step 4: Simplify right side
    6,944x = 151,979,584
  5. Step 5: Solve for x
    x = 151,979,584/6,944
  6. Step 6: Final answer
    x = 21,886.46

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.