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Finding the Third Proportional to 5.74 and 8.41

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Solution

The third proportional to 5.74 and 8.41 is: 12.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.74 : 8.41 = 8.41 : x
  2. Step 2: Convert to fraction form
    5.74/8.41 = 8.41/x
  3. Step 3: Cross multiply
    5.74x = 8.41 × 8.41
  4. Step 4: Simplify right side
    5.74x = 70.72
  5. Step 5: Solve for x
    x = 70.72/5.74
  6. Step 6: Final answer
    x = 12.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.