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Finding the Third Proportional to 46,746 and 67,193

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Solution

The third proportional to 46,746 and 67,193 is: 96,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746 : 67,193 = 67,193 : x
  2. Step 2: Convert to fraction form
    46,746/67,193 = 67,193/x
  3. Step 3: Cross multiply
    46,746x = 67,193 × 67,193
  4. Step 4: Simplify right side
    46,746x = 4,514,899,249
  5. Step 5: Solve for x
    x = 4,514,899,249/46,746
  6. Step 6: Final answer
    x = 96,583.65

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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.