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Finding the Third Proportional to 14.00 and 28.56

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Solution

The third proportional to 14.00 and 28.56 is: 58.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.00 : 28.56 = 28.56 : x
  2. Step 2: Convert to fraction form
    14.00/28.56 = 28.56/x
  3. Step 3: Cross multiply
    14.00x = 28.56 × 28.56
  4. Step 4: Simplify right side
    14.00x = 815.43
  5. Step 5: Solve for x
    x = 815.43/14.00
  6. Step 6: Final answer
    x = 58.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.