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Finding the Third Proportional to 26.63 and 56.91

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Solution

The third proportional to 26.63 and 56.91 is: 121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.63 : 56.91 = 56.91 : x
  2. Step 2: Convert to fraction form
    26.63/56.91 = 56.91/x
  3. Step 3: Cross multiply
    26.63x = 56.91 × 56.91
  4. Step 4: Simplify right side
    26.63x = 3,238.32
  5. Step 5: Solve for x
    x = 3,238.32/26.63
  6. Step 6: Final answer
    x = 121.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.