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Finding the Third Proportional to 12.60 and 27.26

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Solution

The third proportional to 12.60 and 27.26 is: 58.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.60 : 27.26 = 27.26 : x
  2. Step 2: Convert to fraction form
    12.60/27.26 = 27.26/x
  3. Step 3: Cross multiply
    12.60x = 27.26 × 27.26
  4. Step 4: Simplify right side
    12.60x = 743.31
  5. Step 5: Solve for x
    x = 743.31/12.60
  6. Step 6: Final answer
    x = 58.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.