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Finding the Third Proportional to 41.65 and 51.26

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Solution

The third proportional to 41.65 and 51.26 is: 63.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.65 : 51.26 = 51.26 : x
  2. Step 2: Convert to fraction form
    41.65/51.26 = 51.26/x
  3. Step 3: Cross multiply
    41.65x = 51.26 × 51.26
  4. Step 4: Simplify right side
    41.65x = 2,627.36
  5. Step 5: Solve for x
    x = 2,627.36/41.65
  6. Step 6: Final answer
    x = 63.09

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.