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Finding the Third Proportional to 26.02 and 37.55

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Solution

The third proportional to 26.02 and 37.55 is: 54.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.02 : 37.55 = 37.55 : x
  2. Step 2: Convert to fraction form
    26.02/37.55 = 37.55/x
  3. Step 3: Cross multiply
    26.02x = 37.55 × 37.55
  4. Step 4: Simplify right side
    26.02x = 1,409.77
  5. Step 5: Solve for x
    x = 1,409.77/26.02
  6. Step 6: Final answer
    x = 54.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.