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Finding the Third Proportional to 7,923 and 17,434

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Solution

The third proportional to 7,923 and 17,434 is: 38,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923 : 17,434 = 17,434 : x
  2. Step 2: Convert to fraction form
    7,923/17,434 = 17,434/x
  3. Step 3: Cross multiply
    7,923x = 17,434 × 17,434
  4. Step 4: Simplify right side
    7,923x = 303,944,356
  5. Step 5: Solve for x
    x = 303,944,356/7,923
  6. Step 6: Final answer
    x = 38,362.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.