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Finding the Third Proportional to 55.03 and 72.94

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Solution

The third proportional to 55.03 and 72.94 is: 96.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.03 : 72.94 = 72.94 : x
  2. Step 2: Convert to fraction form
    55.03/72.94 = 72.94/x
  3. Step 3: Cross multiply
    55.03x = 72.94 × 72.94
  4. Step 4: Simplify right side
    55.03x = 5,319.88
  5. Step 5: Solve for x
    x = 5,319.88/55.03
  6. Step 6: Final answer
    x = 96.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.