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Finding the Third Proportional to 38.53 and 56.67

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Solution

The third proportional to 38.53 and 56.67 is: 83.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.53 : 56.67 = 56.67 : x
  2. Step 2: Convert to fraction form
    38.53/56.67 = 56.67/x
  3. Step 3: Cross multiply
    38.53x = 56.67 × 56.67
  4. Step 4: Simplify right side
    38.53x = 3,211.70
  5. Step 5: Solve for x
    x = 3,211.70/38.53
  6. Step 6: Final answer
    x = 83.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.