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Finding the Third Proportional to 30.75 and 76.50

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Solution

The third proportional to 30.75 and 76.50 is: 190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 76.50 = 76.50 : x
  2. Step 2: Convert to fraction form
    30.75/76.50 = 76.50/x
  3. Step 3: Cross multiply
    30.75x = 76.50 × 76.50
  4. Step 4: Simplify right side
    30.75x = 5,852.25
  5. Step 5: Solve for x
    x = 5,852.25/30.75
  6. Step 6: Final answer
    x = 190.32

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.