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Finding the Third Proportional to 33,543 and 46,197

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Solution

The third proportional to 33,543 and 46,197 is: 63,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,543 : 46,197 = 46,197 : x
  2. Step 2: Convert to fraction form
    33,543/46,197 = 46,197/x
  3. Step 3: Cross multiply
    33,543x = 46,197 × 46,197
  4. Step 4: Simplify right side
    33,543x = 2,134,162,809
  5. Step 5: Solve for x
    x = 2,134,162,809/33,543
  6. Step 6: Final answer
    x = 63,624.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.