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Finding the Third Proportional to 26.14 and 56.33

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Solution

The third proportional to 26.14 and 56.33 is: 121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.14 : 56.33 = 56.33 : x
  2. Step 2: Convert to fraction form
    26.14/56.33 = 56.33/x
  3. Step 3: Cross multiply
    26.14x = 56.33 × 56.33
  4. Step 4: Simplify right side
    26.14x = 3,173.30
  5. Step 5: Solve for x
    x = 3,173.30/26.14
  6. Step 6: Final answer
    x = 121.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.