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Finding the Third Proportional to 25.39 and 52.37

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Solution

The third proportional to 25.39 and 52.37 is: 107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.39 : 52.37 = 52.37 : x
  2. Step 2: Convert to fraction form
    25.39/52.37 = 52.37/x
  3. Step 3: Cross multiply
    25.39x = 52.37 × 52.37
  4. Step 4: Simplify right side
    25.39x = 2,742.12
  5. Step 5: Solve for x
    x = 2,742.12/25.39
  6. Step 6: Final answer
    x = 107.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.