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Finding the Third Proportional to 21,979 and 34,944

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Solution

The third proportional to 21,979 and 34,944 is: 55,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,979 : 34,944 = 34,944 : x
  2. Step 2: Convert to fraction form
    21,979/34,944 = 34,944/x
  3. Step 3: Cross multiply
    21,979x = 34,944 × 34,944
  4. Step 4: Simplify right side
    21,979x = 1,221,083,136
  5. Step 5: Solve for x
    x = 1,221,083,136/21,979
  6. Step 6: Final answer
    x = 55,556.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.