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Finding the Third Proportional to 19,844 and 29,698

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Solution

The third proportional to 19,844 and 29,698 is: 44,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,844 : 29,698 = 29,698 : x
  2. Step 2: Convert to fraction form
    19,844/29,698 = 29,698/x
  3. Step 3: Cross multiply
    19,844x = 29,698 × 29,698
  4. Step 4: Simplify right side
    19,844x = 881,971,204
  5. Step 5: Solve for x
    x = 881,971,204/19,844
  6. Step 6: Final answer
    x = 44,445.23

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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.