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Finding the Third Proportional to 12.98 and 28.25

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Solution

The third proportional to 12.98 and 28.25 is: 61.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.98 : 28.25 = 28.25 : x
  2. Step 2: Convert to fraction form
    12.98/28.25 = 28.25/x
  3. Step 3: Cross multiply
    12.98x = 28.25 × 28.25
  4. Step 4: Simplify right side
    12.98x = 797.83
  5. Step 5: Solve for x
    x = 797.83/12.98
  6. Step 6: Final answer
    x = 61.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.