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Finding the Third Proportional to 0.98 and 1.67

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Solution

The third proportional to 0.98 and 1.67 is: 2.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.98 : 1.67 = 1.67 : x
  2. Step 2: Convert to fraction form
    0.98/1.67 = 1.67/x
  3. Step 3: Cross multiply
    0.98x = 1.67 × 1.67
  4. Step 4: Simplify right side
    0.98x = 2.78
  5. Step 5: Solve for x
    x = 2.78/0.98
  6. Step 6: Final answer
    x = 2.85

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.