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Finding the Third Proportional to 4,084 and 6,125

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Solution

The third proportional to 4,084 and 6,125 is: 9,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084 : 6,125 = 6,125 : x
  2. Step 2: Convert to fraction form
    4,084/6,125 = 6,125/x
  3. Step 3: Cross multiply
    4,084x = 6,125 × 6,125
  4. Step 4: Simplify right side
    4,084x = 37,515,625
  5. Step 5: Solve for x
    x = 37,515,625/4,084
  6. Step 6: Final answer
    x = 9,186.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.