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Finding the Third Proportional to 28.55 and 45.42

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Solution

The third proportional to 28.55 and 45.42 is: 72.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.55 : 45.42 = 45.42 : x
  2. Step 2: Convert to fraction form
    28.55/45.42 = 45.42/x
  3. Step 3: Cross multiply
    28.55x = 45.42 × 45.42
  4. Step 4: Simplify right side
    28.55x = 2,063.15
  5. Step 5: Solve for x
    x = 2,063.15/28.55
  6. Step 6: Final answer
    x = 72.27

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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.