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Finding the Third Proportional to 2,271.94 and 2,994.19

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Solution

The third proportional to 2,271.94 and 2,994.19 is: 3,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.94 : 2,994.19 = 2,994.19 : x
  2. Step 2: Convert to fraction form
    2,271.94/2,994.19 = 2,994.19/x
  3. Step 3: Cross multiply
    2,271.94x = 2,994.19 × 2,994.19
  4. Step 4: Simplify right side
    2,271.94x = 8,965,158.79
  5. Step 5: Solve for x
    x = 8,965,158.79/2,271.94
  6. Step 6: Final answer
    x = 3,946.04

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.