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Finding the Third Proportional to 45.42 and 65.67

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Solution

The third proportional to 45.42 and 65.67 is: 94.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.42 : 65.67 = 65.67 : x
  2. Step 2: Convert to fraction form
    45.42/65.67 = 65.67/x
  3. Step 3: Cross multiply
    45.42x = 65.67 × 65.67
  4. Step 4: Simplify right side
    45.42x = 4,312.80
  5. Step 5: Solve for x
    x = 4,312.80/45.42
  6. Step 6: Final answer
    x = 94.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.