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Finding the Third Proportional to 37 and 40.50

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Solution

The third proportional to 37 and 40.50 is: 44.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37 : 40.50 = 40.50 : x
  2. Step 2: Convert to fraction form
    37/40.50 = 40.50/x
  3. Step 3: Cross multiply
    37x = 40.50 × 40.50
  4. Step 4: Simplify right side
    37x = 1,640.25
  5. Step 5: Solve for x
    x = 1,640.25/37
  6. Step 6: Final answer
    x = 44.33

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.