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Finding the Third Proportional to 26.34 and 56.34

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Solution

The third proportional to 26.34 and 56.34 is: 120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.34 : 56.34 = 56.34 : x
  2. Step 2: Convert to fraction form
    26.34/56.34 = 56.34/x
  3. Step 3: Cross multiply
    26.34x = 56.34 × 56.34
  4. Step 4: Simplify right side
    26.34x = 3,174.62
  5. Step 5: Solve for x
    x = 3,174.62/26.34
  6. Step 6: Final answer
    x = 120.51

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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.