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Finding the Third Proportional to 46,221.75 and 94,635

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Solution

The third proportional to 46,221.75 and 94,635 is: 193,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,221.75 : 94,635 = 94,635 : x
  2. Step 2: Convert to fraction form
    46,221.75/94,635 = 94,635/x
  3. Step 3: Cross multiply
    46,221.75x = 94,635 × 94,635
  4. Step 4: Simplify right side
    46,221.75x = 8,955,783,225
  5. Step 5: Solve for x
    x = 8,955,783,225/46,221.75
  6. Step 6: Final answer
    x = 193,756.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.