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Finding the Third Proportional to 29.75 and 74.50

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Solution

The third proportional to 29.75 and 74.50 is: 186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 74.50 = 74.50 : x
  2. Step 2: Convert to fraction form
    29.75/74.50 = 74.50/x
  3. Step 3: Cross multiply
    29.75x = 74.50 × 74.50
  4. Step 4: Simplify right side
    29.75x = 5,550.25
  5. Step 5: Solve for x
    x = 5,550.25/29.75
  6. Step 6: Final answer
    x = 186.56

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.