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Finding the Third Proportional to 16.85 and 37.45

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Solution

The third proportional to 16.85 and 37.45 is: 83.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.85 : 37.45 = 37.45 : x
  2. Step 2: Convert to fraction form
    16.85/37.45 = 37.45/x
  3. Step 3: Cross multiply
    16.85x = 37.45 × 37.45
  4. Step 4: Simplify right side
    16.85x = 1,402.77
  5. Step 5: Solve for x
    x = 1,402.77/16.85
  6. Step 6: Final answer
    x = 83.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.