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Finding the Third Proportional to 19,384 and 29,834

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Solution

The third proportional to 19,384 and 29,834 is: 45,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384 : 29,834 = 29,834 : x
  2. Step 2: Convert to fraction form
    19,384/29,834 = 29,834/x
  3. Step 3: Cross multiply
    19,384x = 29,834 × 29,834
  4. Step 4: Simplify right side
    19,384x = 890,067,556
  5. Step 5: Solve for x
    x = 890,067,556/19,384
  6. Step 6: Final answer
    x = 45,917.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.