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Finding the Third Proportional to 37 and 68.50

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Solution

The third proportional to 37 and 68.50 is: 126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37 : 68.50 = 68.50 : x
  2. Step 2: Convert to fraction form
    37/68.50 = 68.50/x
  3. Step 3: Cross multiply
    37x = 68.50 × 68.50
  4. Step 4: Simplify right side
    37x = 4,692.25
  5. Step 5: Solve for x
    x = 4,692.25/37
  6. Step 6: Final answer
    x = 126.82

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.