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Finding the Third Proportional to 21,874 and 32,324

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Solution

The third proportional to 21,874 and 32,324 is: 47,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874 : 32,324 = 32,324 : x
  2. Step 2: Convert to fraction form
    21,874/32,324 = 32,324/x
  3. Step 3: Cross multiply
    21,874x = 32,324 × 32,324
  4. Step 4: Simplify right side
    21,874x = 1,044,840,976
  5. Step 5: Solve for x
    x = 1,044,840,976/21,874
  6. Step 6: Final answer
    x = 47,766.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.