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Finding the Third Proportional to 1.30 and 1.97

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Solution

The third proportional to 1.30 and 1.97 is: 2.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.30 : 1.97 = 1.97 : x
  2. Step 2: Convert to fraction form
    1.30/1.97 = 1.97/x
  3. Step 3: Cross multiply
    1.30x = 1.97 × 1.97
  4. Step 4: Simplify right side
    1.30x = 3.88
  5. Step 5: Solve for x
    x = 3.88/1.30
  6. Step 6: Final answer
    x = 2.99

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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.