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Finding the Third Proportional to 11.77 and 13.45

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Solution

The third proportional to 11.77 and 13.45 is: 15.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.77 : 13.45 = 13.45 : x
  2. Step 2: Convert to fraction form
    11.77/13.45 = 13.45/x
  3. Step 3: Cross multiply
    11.77x = 13.45 × 13.45
  4. Step 4: Simplify right side
    11.77x = 180.79
  5. Step 5: Solve for x
    x = 180.79/11.77
  6. Step 6: Final answer
    x = 15.36

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.