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Finding the Third Proportional to 30.25 and 30.50

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Solution

The third proportional to 30.25 and 30.50 is: 30.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.25 : 30.50 = 30.50 : x
  2. Step 2: Convert to fraction form
    30.25/30.50 = 30.50/x
  3. Step 3: Cross multiply
    30.25x = 30.50 × 30.50
  4. Step 4: Simplify right side
    30.25x = 930.25
  5. Step 5: Solve for x
    x = 930.25/30.25
  6. Step 6: Final answer
    x = 30.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.