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Finding the Third Proportional to 19,920 and 44,384

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Solution

The third proportional to 19,920 and 44,384 is: 98,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920 : 44,384 = 44,384 : x
  2. Step 2: Convert to fraction form
    19,920/44,384 = 44,384/x
  3. Step 3: Cross multiply
    19,920x = 44,384 × 44,384
  4. Step 4: Simplify right side
    19,920x = 1,969,939,456
  5. Step 5: Solve for x
    x = 1,969,939,456/19,920
  6. Step 6: Final answer
    x = 98,892.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.