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Finding the Third Proportional to 27.84 and 58.22

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Solution

The third proportional to 27.84 and 58.22 is: 121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 58.22 = 58.22 : x
  2. Step 2: Convert to fraction form
    27.84/58.22 = 58.22/x
  3. Step 3: Cross multiply
    27.84x = 58.22 × 58.22
  4. Step 4: Simplify right side
    27.84x = 3,389.42
  5. Step 5: Solve for x
    x = 3,389.42/27.84
  6. Step 6: Final answer
    x = 121.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.