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Finding the Third Proportional to 13.92 and 22.94

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Solution

The third proportional to 13.92 and 22.94 is: 37.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.92 : 22.94 = 22.94 : x
  2. Step 2: Convert to fraction form
    13.92/22.94 = 22.94/x
  3. Step 3: Cross multiply
    13.92x = 22.94 × 22.94
  4. Step 4: Simplify right side
    13.92x = 526.22
  5. Step 5: Solve for x
    x = 526.22/13.92
  6. Step 6: Final answer
    x = 37.80

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.