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Finding the Third Proportional to 19,885 and 29,827

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Solution

The third proportional to 19,885 and 29,827 is: 44,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885 : 29,827 = 29,827 : x
  2. Step 2: Convert to fraction form
    19,885/29,827 = 29,827/x
  3. Step 3: Cross multiply
    19,885x = 29,827 × 29,827
  4. Step 4: Simplify right side
    19,885x = 889,649,929
  5. Step 5: Solve for x
    x = 889,649,929/19,885
  6. Step 6: Final answer
    x = 44,739.75

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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.