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Finding the Third Proportional to 11.60 and 16.48

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Solution

The third proportional to 11.60 and 16.48 is: 23.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.60 : 16.48 = 16.48 : x
  2. Step 2: Convert to fraction form
    11.60/16.48 = 16.48/x
  3. Step 3: Cross multiply
    11.60x = 16.48 × 16.48
  4. Step 4: Simplify right side
    11.60x = 271.48
  5. Step 5: Solve for x
    x = 271.48/11.60
  6. Step 6: Final answer
    x = 23.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.