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Finding the Third Proportional to 21,650 and 44,324

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Solution

The third proportional to 21,650 and 44,324 is: 90,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,650 : 44,324 = 44,324 : x
  2. Step 2: Convert to fraction form
    21,650/44,324 = 44,324/x
  3. Step 3: Cross multiply
    21,650x = 44,324 × 44,324
  4. Step 4: Simplify right side
    21,650x = 1,964,616,976
  5. Step 5: Solve for x
    x = 1,964,616,976/21,650
  6. Step 6: Final answer
    x = 90,744.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.