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Finding the Third Proportional to 18,993 and 40,911

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Solution

The third proportional to 18,993 and 40,911 is: 88,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,993 : 40,911 = 40,911 : x
  2. Step 2: Convert to fraction form
    18,993/40,911 = 40,911/x
  3. Step 3: Cross multiply
    18,993x = 40,911 × 40,911
  4. Step 4: Simplify right side
    18,993x = 1,673,709,921
  5. Step 5: Solve for x
    x = 1,673,709,921/18,993
  6. Step 6: Final answer
    x = 88,122.46

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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.