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Finding the Third Proportional to 2.94 and 6.46

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Solution

The third proportional to 2.94 and 6.46 is: 14.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.94 : 6.46 = 6.46 : x
  2. Step 2: Convert to fraction form
    2.94/6.46 = 6.46/x
  3. Step 3: Cross multiply
    2.94x = 6.46 × 6.46
  4. Step 4: Simplify right side
    2.94x = 41.74
  5. Step 5: Solve for x
    x = 41.74/2.94
  6. Step 6: Final answer
    x = 14.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.