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Finding the Third Proportional to 20.58 and 45.23

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Solution

The third proportional to 20.58 and 45.23 is: 99.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.58 : 45.23 = 45.23 : x
  2. Step 2: Convert to fraction form
    20.58/45.23 = 45.23/x
  3. Step 3: Cross multiply
    20.58x = 45.23 × 45.23
  4. Step 4: Simplify right side
    20.58x = 2,046.15
  5. Step 5: Solve for x
    x = 2,046.15/20.58
  6. Step 6: Final answer
    x = 99.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.