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Finding the Third Proportional to 19,058 and 41,806

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Solution

The third proportional to 19,058 and 41,806 is: 91,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,058 : 41,806 = 41,806 : x
  2. Step 2: Convert to fraction form
    19,058/41,806 = 41,806/x
  3. Step 3: Cross multiply
    19,058x = 41,806 × 41,806
  4. Step 4: Simplify right side
    19,058x = 1,747,741,636
  5. Step 5: Solve for x
    x = 1,747,741,636/19,058
  6. Step 6: Final answer
    x = 91,706.46

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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.