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Finding the Third Proportional to 2,946.94 and 6,133.22

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Solution

The third proportional to 2,946.94 and 6,133.22 is: 12,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.94 : 6,133.22 = 6,133.22 : x
  2. Step 2: Convert to fraction form
    2,946.94/6,133.22 = 6,133.22/x
  3. Step 3: Cross multiply
    2,946.94x = 6,133.22 × 6,133.22
  4. Step 4: Simplify right side
    2,946.94x = 37,616,372.24
  5. Step 5: Solve for x
    x = 37,616,372.24/2,946.94
  6. Step 6: Final answer
    x = 12,764.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.