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Finding the Third Proportional to 5.06 and 27.84

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Solution

The third proportional to 5.06 and 27.84 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.06 : 27.84 = 27.84 : x
  2. Step 2: Convert to fraction form
    5.06/27.84 = 27.84/x
  3. Step 3: Cross multiply
    5.06x = 27.84 × 27.84
  4. Step 4: Simplify right side
    5.06x = 775.27
  5. Step 5: Solve for x
    x = 775.27/5.06
  6. Step 6: Final answer
    x = 153.14

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Why These Related Problems?

These problems maintain the same ratio (5.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.