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Finding the Third Proportional to 28.56 and 59.31

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Solution

The third proportional to 28.56 and 59.31 is: 123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.56 : 59.31 = 59.31 : x
  2. Step 2: Convert to fraction form
    28.56/59.31 = 59.31/x
  3. Step 3: Cross multiply
    28.56x = 59.31 × 59.31
  4. Step 4: Simplify right side
    28.56x = 3,517.97
  5. Step 5: Solve for x
    x = 3,517.97/28.56
  6. Step 6: Final answer
    x = 123.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.