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Finding the Third Proportional to 4.97 and 11.74

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Solution

The third proportional to 4.97 and 11.74 is: 27.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.97 : 11.74 = 11.74 : x
  2. Step 2: Convert to fraction form
    4.97/11.74 = 11.74/x
  3. Step 3: Cross multiply
    4.97x = 11.74 × 11.74
  4. Step 4: Simplify right side
    4.97x = 137.77
  5. Step 5: Solve for x
    x = 137.77/4.97
  6. Step 6: Final answer
    x = 27.74

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.