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Finding the Third Proportional to 2.77 and 6.49

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Solution

The third proportional to 2.77 and 6.49 is: 15.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.77 : 6.49 = 6.49 : x
  2. Step 2: Convert to fraction form
    2.77/6.49 = 6.49/x
  3. Step 3: Cross multiply
    2.77x = 6.49 × 6.49
  4. Step 4: Simplify right side
    2.77x = 42.18
  5. Step 5: Solve for x
    x = 42.18/2.77
  6. Step 6: Final answer
    x = 15.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.