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Finding the Third Proportional to 12,944 and 27,946

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Solution

The third proportional to 12,944 and 27,946 is: 60,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944 : 27,946 = 27,946 : x
  2. Step 2: Convert to fraction form
    12,944/27,946 = 27,946/x
  3. Step 3: Cross multiply
    12,944x = 27,946 × 27,946
  4. Step 4: Simplify right side
    12,944x = 780,978,916
  5. Step 5: Solve for x
    x = 780,978,916/12,944
  6. Step 6: Final answer
    x = 60,335.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.