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Finding the Third Proportional to 28.56 and 58.63

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Solution

The third proportional to 28.56 and 58.63 is: 120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.56 : 58.63 = 58.63 : x
  2. Step 2: Convert to fraction form
    28.56/58.63 = 58.63/x
  3. Step 3: Cross multiply
    28.56x = 58.63 × 58.63
  4. Step 4: Simplify right side
    28.56x = 3,436.89
  5. Step 5: Solve for x
    x = 3,436.89/28.56
  6. Step 6: Final answer
    x = 120.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.