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Finding the Third Proportional to 23.14 and 35.21

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Solution

The third proportional to 23.14 and 35.21 is: 53.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.14 : 35.21 = 35.21 : x
  2. Step 2: Convert to fraction form
    23.14/35.21 = 35.21/x
  3. Step 3: Cross multiply
    23.14x = 35.21 × 35.21
  4. Step 4: Simplify right side
    23.14x = 1,239.81
  5. Step 5: Solve for x
    x = 1,239.81/23.14
  6. Step 6: Final answer
    x = 53.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.