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Finding the Third Proportional to 45.21 and 96.46

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Solution

The third proportional to 45.21 and 96.46 is: 205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.21 : 96.46 = 96.46 : x
  2. Step 2: Convert to fraction form
    45.21/96.46 = 96.46/x
  3. Step 3: Cross multiply
    45.21x = 96.46 × 96.46
  4. Step 4: Simplify right side
    45.21x = 9,305.37
  5. Step 5: Solve for x
    x = 9,305.37/45.21
  6. Step 6: Final answer
    x = 205.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.