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Finding the Third Proportional to 0.77 and 1.09

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Solution

The third proportional to 0.77 and 1.09 is: 1.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.77 : 1.09 = 1.09 : x
  2. Step 2: Convert to fraction form
    0.77/1.09 = 1.09/x
  3. Step 3: Cross multiply
    0.77x = 1.09 × 1.09
  4. Step 4: Simplify right side
    0.77x = 1.19
  5. Step 5: Solve for x
    x = 1.19/0.77
  6. Step 6: Final answer
    x = 1.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.