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Finding the Third Proportional to 30.94 and 68.06

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Solution

The third proportional to 30.94 and 68.06 is: 149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.94 : 68.06 = 68.06 : x
  2. Step 2: Convert to fraction form
    30.94/68.06 = 68.06/x
  3. Step 3: Cross multiply
    30.94x = 68.06 × 68.06
  4. Step 4: Simplify right side
    30.94x = 4,632.50
  5. Step 5: Solve for x
    x = 4,632.50/30.94
  6. Step 6: Final answer
    x = 149.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.