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Finding the Third Proportional to 30.50 and 74.75

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Solution

The third proportional to 30.50 and 74.75 is: 183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.50 : 74.75 = 74.75 : x
  2. Step 2: Convert to fraction form
    30.50/74.75 = 74.75/x
  3. Step 3: Cross multiply
    30.50x = 74.75 × 74.75
  4. Step 4: Simplify right side
    30.50x = 5,587.56
  5. Step 5: Solve for x
    x = 5,587.56/30.50
  6. Step 6: Final answer
    x = 183.20

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.