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Finding the Third Proportional to 19,992 and 29,878

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Solution

The third proportional to 19,992 and 29,878 is: 44,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992 : 29,878 = 29,878 : x
  2. Step 2: Convert to fraction form
    19,992/29,878 = 29,878/x
  3. Step 3: Cross multiply
    19,992x = 29,878 × 29,878
  4. Step 4: Simplify right side
    19,992x = 892,694,884
  5. Step 5: Solve for x
    x = 892,694,884/19,992
  6. Step 6: Final answer
    x = 44,652.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.