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Finding the Third Proportional to 1.97 and 3.05

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Solution

The third proportional to 1.97 and 3.05 is: 4.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.97 : 3.05 = 3.05 : x
  2. Step 2: Convert to fraction form
    1.97/3.05 = 3.05/x
  3. Step 3: Cross multiply
    1.97x = 3.05 × 3.05
  4. Step 4: Simplify right side
    1.97x = 9.28
  5. Step 5: Solve for x
    x = 9.28/1.97
  6. Step 6: Final answer
    x = 4.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.