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Finding the Third Proportional to 36.49 and 46.09

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Solution

The third proportional to 36.49 and 46.09 is: 58.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.49 : 46.09 = 46.09 : x
  2. Step 2: Convert to fraction form
    36.49/46.09 = 46.09/x
  3. Step 3: Cross multiply
    36.49x = 46.09 × 46.09
  4. Step 4: Simplify right side
    36.49x = 2,124.27
  5. Step 5: Solve for x
    x = 2,124.27/36.49
  6. Step 6: Final answer
    x = 58.21

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.