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Finding the Third Proportional to 48.53 and 106.67

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Solution

The third proportional to 48.53 and 106.67 is: 234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.53 : 106.67 = 106.67 : x
  2. Step 2: Convert to fraction form
    48.53/106.67 = 106.67/x
  3. Step 3: Cross multiply
    48.53x = 106.67 × 106.67
  4. Step 4: Simplify right side
    48.53x = 11,378.16
  5. Step 5: Solve for x
    x = 11,378.16/48.53
  6. Step 6: Final answer
    x = 234.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.