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Finding the Third Proportional to 15,923.25 and 23,891.63

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Solution

The third proportional to 15,923.25 and 23,891.63 is: 35,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.25 : 23,891.63 = 23,891.63 : x
  2. Step 2: Convert to fraction form
    15,923.25/23,891.63 = 23,891.63/x
  3. Step 3: Cross multiply
    15,923.25x = 23,891.63 × 23,891.63
  4. Step 4: Simplify right side
    15,923.25x = 570,809,745.14
  5. Step 5: Solve for x
    x = 570,809,745.14/15,923.25
  6. Step 6: Final answer
    x = 35,847.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.