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Finding the Third Proportional to 27.35 and 56.67

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Solution

The third proportional to 27.35 and 56.67 is: 117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.35 : 56.67 = 56.67 : x
  2. Step 2: Convert to fraction form
    27.35/56.67 = 56.67/x
  3. Step 3: Cross multiply
    27.35x = 56.67 × 56.67
  4. Step 4: Simplify right side
    27.35x = 3,211.70
  5. Step 5: Solve for x
    x = 3,211.70/27.35
  6. Step 6: Final answer
    x = 117.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.