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Finding the Third Proportional to 19,137 and 40,591

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Solution

The third proportional to 19,137 and 40,591 is: 86,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,137 : 40,591 = 40,591 : x
  2. Step 2: Convert to fraction form
    19,137/40,591 = 40,591/x
  3. Step 3: Cross multiply
    19,137x = 40,591 × 40,591
  4. Step 4: Simplify right side
    19,137x = 1,647,629,281
  5. Step 5: Solve for x
    x = 1,647,629,281/19,137
  6. Step 6: Final answer
    x = 86,096.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.