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Finding the Third Proportional to 7,351 and 17,336

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Solution

The third proportional to 7,351 and 17,336 is: 40,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351 : 17,336 = 17,336 : x
  2. Step 2: Convert to fraction form
    7,351/17,336 = 17,336/x
  3. Step 3: Cross multiply
    7,351x = 17,336 × 17,336
  4. Step 4: Simplify right side
    7,351x = 300,536,896
  5. Step 5: Solve for x
    x = 300,536,896/7,351
  6. Step 6: Final answer
    x = 40,883.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.