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Finding the Third Proportional to 10.74 and 23.46

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Solution

The third proportional to 10.74 and 23.46 is: 51.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.74 : 23.46 = 23.46 : x
  2. Step 2: Convert to fraction form
    10.74/23.46 = 23.46/x
  3. Step 3: Cross multiply
    10.74x = 23.46 × 23.46
  4. Step 4: Simplify right side
    10.74x = 550.54
  5. Step 5: Solve for x
    x = 550.54/10.74
  6. Step 6: Final answer
    x = 51.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.