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Finding the Third Proportional to 0.77 and 1.80

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Solution

The third proportional to 0.77 and 1.80 is: 4.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.77 : 1.80 = 1.80 : x
  2. Step 2: Convert to fraction form
    0.77/1.80 = 1.80/x
  3. Step 3: Cross multiply
    0.77x = 1.80 × 1.80
  4. Step 4: Simplify right side
    0.77x = 3.25
  5. Step 5: Solve for x
    x = 3.25/0.77
  6. Step 6: Final answer
    x = 4.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.