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Finding the Third Proportional to 2,054 and 3,081

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Solution

The third proportional to 2,054 and 3,081 is: 4,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054 : 3,081 = 3,081 : x
  2. Step 2: Convert to fraction form
    2,054/3,081 = 3,081/x
  3. Step 3: Cross multiply
    2,054x = 3,081 × 3,081
  4. Step 4: Simplify right side
    2,054x = 9,492,561
  5. Step 5: Solve for x
    x = 9,492,561/2,054
  6. Step 6: Final answer
    x = 4,621.50

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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.