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Finding the Third Proportional to 12.65 and 25.42

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Solution

The third proportional to 12.65 and 25.42 is: 51.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.65 : 25.42 = 25.42 : x
  2. Step 2: Convert to fraction form
    12.65/25.42 = 25.42/x
  3. Step 3: Cross multiply
    12.65x = 25.42 × 25.42
  4. Step 4: Simplify right side
    12.65x = 646.27
  5. Step 5: Solve for x
    x = 646.27/12.65
  6. Step 6: Final answer
    x = 51.09

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.