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Finding the Third Proportional to 23.41 and 50.63

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Solution

The third proportional to 23.41 and 50.63 is: 109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.41 : 50.63 = 50.63 : x
  2. Step 2: Convert to fraction form
    23.41/50.63 = 50.63/x
  3. Step 3: Cross multiply
    23.41x = 50.63 × 50.63
  4. Step 4: Simplify right side
    23.41x = 2,562.89
  5. Step 5: Solve for x
    x = 2,562.89/23.41
  6. Step 6: Final answer
    x = 109.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.