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Finding the Third Proportional to 19,049 and 41,790

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Solution

The third proportional to 19,049 and 41,790 is: 91,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049 : 41,790 = 41,790 : x
  2. Step 2: Convert to fraction form
    19,049/41,790 = 41,790/x
  3. Step 3: Cross multiply
    19,049x = 41,790 × 41,790
  4. Step 4: Simplify right side
    19,049x = 1,746,404,100
  5. Step 5: Solve for x
    x = 1,746,404,100/19,049
  6. Step 6: Final answer
    x = 91,679.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.