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Finding the Third Proportional to 4,125 and 8,331

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Solution

The third proportional to 4,125 and 8,331 is: 16,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125 : 8,331 = 8,331 : x
  2. Step 2: Convert to fraction form
    4,125/8,331 = 8,331/x
  3. Step 3: Cross multiply
    4,125x = 8,331 × 8,331
  4. Step 4: Simplify right side
    4,125x = 69,405,561
  5. Step 5: Solve for x
    x = 69,405,561/4,125
  6. Step 6: Final answer
    x = 16,825.59

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.