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Finding the Third Proportional to 16.55 and 34.71

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Solution

The third proportional to 16.55 and 34.71 is: 72.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.55 : 34.71 = 34.71 : x
  2. Step 2: Convert to fraction form
    16.55/34.71 = 34.71/x
  3. Step 3: Cross multiply
    16.55x = 34.71 × 34.71
  4. Step 4: Simplify right side
    16.55x = 1,204.49
  5. Step 5: Solve for x
    x = 1,204.49/16.55
  6. Step 6: Final answer
    x = 72.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.