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Finding the Third Proportional to 29.75 and 50.50

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Solution

The third proportional to 29.75 and 50.50 is: 85.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 50.50 = 50.50 : x
  2. Step 2: Convert to fraction form
    29.75/50.50 = 50.50/x
  3. Step 3: Cross multiply
    29.75x = 50.50 × 50.50
  4. Step 4: Simplify right side
    29.75x = 2,550.25
  5. Step 5: Solve for x
    x = 2,550.25/29.75
  6. Step 6: Final answer
    x = 85.72

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.