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Finding the Third Proportional to 2.95 and 5.61

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Solution

The third proportional to 2.95 and 5.61 is: 10.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.95 : 5.61 = 5.61 : x
  2. Step 2: Convert to fraction form
    2.95/5.61 = 5.61/x
  3. Step 3: Cross multiply
    2.95x = 5.61 × 5.61
  4. Step 4: Simplify right side
    2.95x = 31.44
  5. Step 5: Solve for x
    x = 31.44/2.95
  6. Step 6: Final answer
    x = 10.67

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.