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Finding the Third Proportional to 21,984 and 31,324

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Solution

The third proportional to 21,984 and 31,324 is: 44,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984 : 31,324 = 31,324 : x
  2. Step 2: Convert to fraction form
    21,984/31,324 = 31,324/x
  3. Step 3: Cross multiply
    21,984x = 31,324 × 31,324
  4. Step 4: Simplify right side
    21,984x = 981,192,976
  5. Step 5: Solve for x
    x = 981,192,976/21,984
  6. Step 6: Final answer
    x = 44,632.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.