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Finding the Third Proportional to 18.75 and 30.84

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Solution

The third proportional to 18.75 and 30.84 is: 50.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.75 : 30.84 = 30.84 : x
  2. Step 2: Convert to fraction form
    18.75/30.84 = 30.84/x
  3. Step 3: Cross multiply
    18.75x = 30.84 × 30.84
  4. Step 4: Simplify right side
    18.75x = 951.34
  5. Step 5: Solve for x
    x = 951.34/18.75
  6. Step 6: Final answer
    x = 50.74

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.