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Finding the Third Proportional to 19,447 and 41,661

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Solution

The third proportional to 19,447 and 41,661 is: 89,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,447 : 41,661 = 41,661 : x
  2. Step 2: Convert to fraction form
    19,447/41,661 = 41,661/x
  3. Step 3: Cross multiply
    19,447x = 41,661 × 41,661
  4. Step 4: Simplify right side
    19,447x = 1,735,638,921
  5. Step 5: Solve for x
    x = 1,735,638,921/19,447
  6. Step 6: Final answer
    x = 89,249.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.