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Finding the Third Proportional to 2.46 and 5.94

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Solution

The third proportional to 2.46 and 5.94 is: 14.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.46 : 5.94 = 5.94 : x
  2. Step 2: Convert to fraction form
    2.46/5.94 = 5.94/x
  3. Step 3: Cross multiply
    2.46x = 5.94 × 5.94
  4. Step 4: Simplify right side
    2.46x = 35.26
  5. Step 5: Solve for x
    x = 35.26/2.46
  6. Step 6: Final answer
    x = 14.32

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.