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Finding the Third Proportional to 19,378 and 41,914

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Solution

The third proportional to 19,378 and 41,914 is: 90,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378 : 41,914 = 41,914 : x
  2. Step 2: Convert to fraction form
    19,378/41,914 = 41,914/x
  3. Step 3: Cross multiply
    19,378x = 41,914 × 41,914
  4. Step 4: Simplify right side
    19,378x = 1,756,783,396
  5. Step 5: Solve for x
    x = 1,756,783,396/19,378
  6. Step 6: Final answer
    x = 90,658.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.