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Finding the Third Proportional to 1.73 and 2.60

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Solution

The third proportional to 1.73 and 2.60 is: 3.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.73 : 2.60 = 2.60 : x
  2. Step 2: Convert to fraction form
    1.73/2.60 = 2.60/x
  3. Step 3: Cross multiply
    1.73x = 2.60 × 2.60
  4. Step 4: Simplify right side
    1.73x = 6.77
  5. Step 5: Solve for x
    x = 6.77/1.73
  6. Step 6: Final answer
    x = 3.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.