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Finding the Third Proportional to 2.30 and 3.46

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Solution

The third proportional to 2.30 and 3.46 is: 5.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.30 : 3.46 = 3.46 : x
  2. Step 2: Convert to fraction form
    2.30/3.46 = 3.46/x
  3. Step 3: Cross multiply
    2.30x = 3.46 × 3.46
  4. Step 4: Simplify right side
    2.30x = 11.99
  5. Step 5: Solve for x
    x = 11.99/2.30
  6. Step 6: Final answer
    x = 5.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.