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Finding the Third Proportional to 55.84 and 84.44

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Solution

The third proportional to 55.84 and 84.44 is: 127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.84 : 84.44 = 84.44 : x
  2. Step 2: Convert to fraction form
    55.84/84.44 = 84.44/x
  3. Step 3: Cross multiply
    55.84x = 84.44 × 84.44
  4. Step 4: Simplify right side
    55.84x = 7,129.69
  5. Step 5: Solve for x
    x = 7,129.69/55.84
  6. Step 6: Final answer
    x = 127.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.