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Finding the Third Proportional to 19,417 and 28,183.50

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Solution

The third proportional to 19,417 and 28,183.50 is: 40,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,417 : 28,183.50 = 28,183.50 : x
  2. Step 2: Convert to fraction form
    19,417/28,183.50 = 28,183.50/x
  3. Step 3: Cross multiply
    19,417x = 28,183.50 × 28,183.50
  4. Step 4: Simplify right side
    19,417x = 794,309,672.25
  5. Step 5: Solve for x
    x = 794,309,672.25/19,417
  6. Step 6: Final answer
    x = 40,907.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.