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Finding the Third Proportional to 21.06 and 33.53

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Solution

The third proportional to 21.06 and 33.53 is: 53.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.06 : 33.53 = 33.53 : x
  2. Step 2: Convert to fraction form
    21.06/33.53 = 33.53/x
  3. Step 3: Cross multiply
    21.06x = 33.53 × 33.53
  4. Step 4: Simplify right side
    21.06x = 1,124.34
  5. Step 5: Solve for x
    x = 1,124.34/21.06
  6. Step 6: Final answer
    x = 53.38

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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.