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Finding the Third Proportional to 2.90 and 5.95

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Solution

The third proportional to 2.90 and 5.95 is: 12.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.90 : 5.95 = 5.95 : x
  2. Step 2: Convert to fraction form
    2.90/5.95 = 5.95/x
  3. Step 3: Cross multiply
    2.90x = 5.95 × 5.95
  4. Step 4: Simplify right side
    2.90x = 35.39
  5. Step 5: Solve for x
    x = 35.39/2.90
  6. Step 6: Final answer
    x = 12.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.