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Finding the Third Proportional to 26.06 and 56.06

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Solution

The third proportional to 26.06 and 56.06 is: 120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.06 : 56.06 = 56.06 : x
  2. Step 2: Convert to fraction form
    26.06/56.06 = 56.06/x
  3. Step 3: Cross multiply
    26.06x = 56.06 × 56.06
  4. Step 4: Simplify right side
    26.06x = 3,143.00
  5. Step 5: Solve for x
    x = 3,143.00/26.06
  6. Step 6: Final answer
    x = 120.59

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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.