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Finding the Third Proportional to 19,286 and 40,108

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Solution

The third proportional to 19,286 and 40,108 is: 83,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286 : 40,108 = 40,108 : x
  2. Step 2: Convert to fraction form
    19,286/40,108 = 40,108/x
  3. Step 3: Cross multiply
    19,286x = 40,108 × 40,108
  4. Step 4: Simplify right side
    19,286x = 1,608,651,664
  5. Step 5: Solve for x
    x = 1,608,651,664/19,286
  6. Step 6: Final answer
    x = 83,410.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.