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Finding the Third Proportional to 16.70 and 24.83

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Solution

The third proportional to 16.70 and 24.83 is: 36.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.70 : 24.83 = 24.83 : x
  2. Step 2: Convert to fraction form
    16.70/24.83 = 24.83/x
  3. Step 3: Cross multiply
    16.70x = 24.83 × 24.83
  4. Step 4: Simplify right side
    16.70x = 616.52
  5. Step 5: Solve for x
    x = 616.52/16.70
  6. Step 6: Final answer
    x = 36.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.