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Finding the Third Proportional to 1.82 and 4.28

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Solution

The third proportional to 1.82 and 4.28 is: 10.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.82 : 4.28 = 4.28 : x
  2. Step 2: Convert to fraction form
    1.82/4.28 = 4.28/x
  3. Step 3: Cross multiply
    1.82x = 4.28 × 4.28
  4. Step 4: Simplify right side
    1.82x = 18.32
  5. Step 5: Solve for x
    x = 18.32/1.82
  6. Step 6: Final answer
    x = 10.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.