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Finding the Third Proportional to 3.06 and 4.64

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Solution

The third proportional to 3.06 and 4.64 is: 7.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.06 : 4.64 = 4.64 : x
  2. Step 2: Convert to fraction form
    3.06/4.64 = 4.64/x
  3. Step 3: Cross multiply
    3.06x = 4.64 × 4.64
  4. Step 4: Simplify right side
    3.06x = 21.52
  5. Step 5: Solve for x
    x = 21.52/3.06
  6. Step 6: Final answer
    x = 7.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.