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Finding the Third Proportional to 2.51 and 5.77

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Solution

The third proportional to 2.51 and 5.77 is: 13.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.51 : 5.77 = 5.77 : x
  2. Step 2: Convert to fraction form
    2.51/5.77 = 5.77/x
  3. Step 3: Cross multiply
    2.51x = 5.77 × 5.77
  4. Step 4: Simplify right side
    2.51x = 33.33
  5. Step 5: Solve for x
    x = 33.33/2.51
  6. Step 6: Final answer
    x = 13.27

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.