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Finding the Third Proportional to 1.29 and 1.80

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Solution

The third proportional to 1.29 and 1.80 is: 2.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.29 : 1.80 = 1.80 : x
  2. Step 2: Convert to fraction form
    1.29/1.80 = 1.80/x
  3. Step 3: Cross multiply
    1.29x = 1.80 × 1.80
  4. Step 4: Simplify right side
    1.29x = 3.24
  5. Step 5: Solve for x
    x = 3.24/1.29
  6. Step 6: Final answer
    x = 2.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.