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Finding the Third Proportional to 3 and 5.06

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Solution

The third proportional to 3 and 5.06 is: 8.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3 : 5.06 = 5.06 : x
  2. Step 2: Convert to fraction form
    3/5.06 = 5.06/x
  3. Step 3: Cross multiply
    3x = 5.06 × 5.06
  4. Step 4: Simplify right side
    3x = 25.63
  5. Step 5: Solve for x
    x = 25.63/3
  6. Step 6: Final answer
    x = 8.54

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.