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Finding the Third Proportional to 19,920 and 29,824

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Solution

The third proportional to 19,920 and 29,824 is: 44,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920 : 29,824 = 29,824 : x
  2. Step 2: Convert to fraction form
    19,920/29,824 = 29,824/x
  3. Step 3: Cross multiply
    19,920x = 29,824 × 29,824
  4. Step 4: Simplify right side
    19,920x = 889,470,976
  5. Step 5: Solve for x
    x = 889,470,976/19,920
  6. Step 6: Final answer
    x = 44,652.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.