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Finding the Third Proportional to 43,965.50 and 89,485

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Solution

The third proportional to 43,965.50 and 89,485 is: 182,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,965.50 : 89,485 = 89,485 : x
  2. Step 2: Convert to fraction form
    43,965.50/89,485 = 89,485/x
  3. Step 3: Cross multiply
    43,965.50x = 89,485 × 89,485
  4. Step 4: Simplify right side
    43,965.50x = 8,007,565,225
  5. Step 5: Solve for x
    x = 8,007,565,225/43,965.50
  6. Step 6: Final answer
    x = 182,132.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.