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Finding the Third Proportional to 21.42 and 50.52

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Solution

The third proportional to 21.42 and 50.52 is: 119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.42 : 50.52 = 50.52 : x
  2. Step 2: Convert to fraction form
    21.42/50.52 = 50.52/x
  3. Step 3: Cross multiply
    21.42x = 50.52 × 50.52
  4. Step 4: Simplify right side
    21.42x = 2,552.62
  5. Step 5: Solve for x
    x = 2,552.62/21.42
  6. Step 6: Final answer
    x = 119.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.