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Finding the Third Proportional to 26.02 and 56.36

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Solution

The third proportional to 26.02 and 56.36 is: 122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.02 : 56.36 = 56.36 : x
  2. Step 2: Convert to fraction form
    26.02/56.36 = 56.36/x
  3. Step 3: Cross multiply
    26.02x = 56.36 × 56.36
  4. Step 4: Simplify right side
    26.02x = 3,175.94
  5. Step 5: Solve for x
    x = 3,175.94/26.02
  6. Step 6: Final answer
    x = 122.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.