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Finding the Third Proportional to 46.83 and 67.39

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Solution

The third proportional to 46.83 and 67.39 is: 96.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.83 : 67.39 = 67.39 : x
  2. Step 2: Convert to fraction form
    46.83/67.39 = 67.39/x
  3. Step 3: Cross multiply
    46.83x = 67.39 × 67.39
  4. Step 4: Simplify right side
    46.83x = 4,542.02
  5. Step 5: Solve for x
    x = 4,542.02/46.83
  6. Step 6: Final answer
    x = 96.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.