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Finding the Third Proportional to 12.09 and 26.16

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Solution

The third proportional to 12.09 and 26.16 is: 56.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.09 : 26.16 = 26.16 : x
  2. Step 2: Convert to fraction form
    12.09/26.16 = 26.16/x
  3. Step 3: Cross multiply
    12.09x = 26.16 × 26.16
  4. Step 4: Simplify right side
    12.09x = 684.15
  5. Step 5: Solve for x
    x = 684.15/12.09
  6. Step 6: Final answer
    x = 56.57

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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.