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Finding the Third Proportional to 19,091 and 29,204

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Solution

The third proportional to 19,091 and 29,204 is: 44,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,091 : 29,204 = 29,204 : x
  2. Step 2: Convert to fraction form
    19,091/29,204 = 29,204/x
  3. Step 3: Cross multiply
    19,091x = 29,204 × 29,204
  4. Step 4: Simplify right side
    19,091x = 852,873,616
  5. Step 5: Solve for x
    x = 852,873,616/19,091
  6. Step 6: Final answer
    x = 44,674.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.