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Finding the Third Proportional to 19,170 and 41,254

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Solution

The third proportional to 19,170 and 41,254 is: 88,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,170 : 41,254 = 41,254 : x
  2. Step 2: Convert to fraction form
    19,170/41,254 = 41,254/x
  3. Step 3: Cross multiply
    19,170x = 41,254 × 41,254
  4. Step 4: Simplify right side
    19,170x = 1,701,892,516
  5. Step 5: Solve for x
    x = 1,701,892,516/19,170
  6. Step 6: Final answer
    x = 88,778.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.