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Finding the Third Proportional to 21.09 and 33.56

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Solution

The third proportional to 21.09 and 33.56 is: 53.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.09 : 33.56 = 33.56 : x
  2. Step 2: Convert to fraction form
    21.09/33.56 = 33.56/x
  3. Step 3: Cross multiply
    21.09x = 33.56 × 33.56
  4. Step 4: Simplify right side
    21.09x = 1,126.44
  5. Step 5: Solve for x
    x = 1,126.44/21.09
  6. Step 6: Final answer
    x = 53.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.