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Finding the Third Proportional to 7,867 and 17,483

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Solution

The third proportional to 7,867 and 17,483 is: 38,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867 : 17,483 = 17,483 : x
  2. Step 2: Convert to fraction form
    7,867/17,483 = 17,483/x
  3. Step 3: Cross multiply
    7,867x = 17,483 × 17,483
  4. Step 4: Simplify right side
    7,867x = 305,655,289
  5. Step 5: Solve for x
    x = 305,655,289/7,867
  6. Step 6: Final answer
    x = 38,852.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.