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Finding the Third Proportional to 21.23 and 46.41

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Solution

The third proportional to 21.23 and 46.41 is: 101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.23 : 46.41 = 46.41 : x
  2. Step 2: Convert to fraction form
    21.23/46.41 = 46.41/x
  3. Step 3: Cross multiply
    21.23x = 46.41 × 46.41
  4. Step 4: Simplify right side
    21.23x = 2,153.54
  5. Step 5: Solve for x
    x = 2,153.54/21.23
  6. Step 6: Final answer
    x = 101.42

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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.