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Finding the Third Proportional to 2,942.16 and 6,015.94

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Solution

The third proportional to 2,942.16 and 6,015.94 is: 12,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.16 : 6,015.94 = 6,015.94 : x
  2. Step 2: Convert to fraction form
    2,942.16/6,015.94 = 6,015.94/x
  3. Step 3: Cross multiply
    2,942.16x = 6,015.94 × 6,015.94
  4. Step 4: Simplify right side
    2,942.16x = 36,191,504.00
  5. Step 5: Solve for x
    x = 36,191,504.00/2,942.16
  6. Step 6: Final answer
    x = 12,301.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.