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Finding the Third Proportional to 8,024 and 19,331

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Solution

The third proportional to 8,024 and 19,331 is: 46,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024 : 19,331 = 19,331 : x
  2. Step 2: Convert to fraction form
    8,024/19,331 = 19,331/x
  3. Step 3: Cross multiply
    8,024x = 19,331 × 19,331
  4. Step 4: Simplify right side
    8,024x = 373,687,561
  5. Step 5: Solve for x
    x = 373,687,561/8,024
  6. Step 6: Final answer
    x = 46,571.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.