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Finding the Third Proportional to 1.65 and 4.54

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Solution

The third proportional to 1.65 and 4.54 is: 12.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.65 : 4.54 = 4.54 : x
  2. Step 2: Convert to fraction form
    1.65/4.54 = 4.54/x
  3. Step 3: Cross multiply
    1.65x = 4.54 × 4.54
  4. Step 4: Simplify right side
    1.65x = 20.57
  5. Step 5: Solve for x
    x = 20.57/1.65
  6. Step 6: Final answer
    x = 12.47

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.