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Finding the Third Proportional to 4,146 and 6,081

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Solution

The third proportional to 4,146 and 6,081 is: 8,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146 : 6,081 = 6,081 : x
  2. Step 2: Convert to fraction form
    4,146/6,081 = 6,081/x
  3. Step 3: Cross multiply
    4,146x = 6,081 × 6,081
  4. Step 4: Simplify right side
    4,146x = 36,978,561
  5. Step 5: Solve for x
    x = 36,978,561/4,146
  6. Step 6: Final answer
    x = 8,919.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.