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Finding the Third Proportional to 23.21 and 35.93

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Solution

The third proportional to 23.21 and 35.93 is: 55.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.21 : 35.93 = 35.93 : x
  2. Step 2: Convert to fraction form
    23.21/35.93 = 35.93/x
  3. Step 3: Cross multiply
    23.21x = 35.93 × 35.93
  4. Step 4: Simplify right side
    23.21x = 1,290.94
  5. Step 5: Solve for x
    x = 1,290.94/23.21
  6. Step 6: Final answer
    x = 55.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.