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Finding the Third Proportional to 1.23 and 1.95

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Solution

The third proportional to 1.23 and 1.95 is: 3.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.23 : 1.95 = 1.95 : x
  2. Step 2: Convert to fraction form
    1.23/1.95 = 1.95/x
  3. Step 3: Cross multiply
    1.23x = 1.95 × 1.95
  4. Step 4: Simplify right side
    1.23x = 3.81
  5. Step 5: Solve for x
    x = 3.81/1.23
  6. Step 6: Final answer
    x = 3.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.