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Finding the Third Proportional to 25.58 and 52.42

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Solution

The third proportional to 25.58 and 52.42 is: 107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.58 : 52.42 = 52.42 : x
  2. Step 2: Convert to fraction form
    25.58/52.42 = 52.42/x
  3. Step 3: Cross multiply
    25.58x = 52.42 × 52.42
  4. Step 4: Simplify right side
    25.58x = 2,747.64
  5. Step 5: Solve for x
    x = 2,747.64/25.58
  6. Step 6: Final answer
    x = 107.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.