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Finding the Third Proportional to 1.39 and 2.37

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Solution

The third proportional to 1.39 and 2.37 is: 4.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.39 : 2.37 = 2.37 : x
  2. Step 2: Convert to fraction form
    1.39/2.37 = 2.37/x
  3. Step 3: Cross multiply
    1.39x = 2.37 × 2.37
  4. Step 4: Simplify right side
    1.39x = 5.62
  5. Step 5: Solve for x
    x = 5.62/1.39
  6. Step 6: Final answer
    x = 4.05

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.