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Finding the Third Proportional to 20,324 and 44,372

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Solution

The third proportional to 20,324 and 44,372 is: 96,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324 : 44,372 = 44,372 : x
  2. Step 2: Convert to fraction form
    20,324/44,372 = 44,372/x
  3. Step 3: Cross multiply
    20,324x = 44,372 × 44,372
  4. Step 4: Simplify right side
    20,324x = 1,968,874,384
  5. Step 5: Solve for x
    x = 1,968,874,384/20,324
  6. Step 6: Final answer
    x = 96,874.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.