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Finding the Third Proportional to 38.79 and 45.67

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Solution

The third proportional to 38.79 and 45.67 is: 53.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.79 : 45.67 = 45.67 : x
  2. Step 2: Convert to fraction form
    38.79/45.67 = 45.67/x
  3. Step 3: Cross multiply
    38.79x = 45.67 × 45.67
  4. Step 4: Simplify right side
    38.79x = 2,085.64
  5. Step 5: Solve for x
    x = 2,085.64/38.79
  6. Step 6: Final answer
    x = 53.77

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.