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Finding the Third Proportional to 43,921.50 and 85,635

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Solution

The third proportional to 43,921.50 and 85,635 is: 166,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,921.50 : 85,635 = 85,635 : x
  2. Step 2: Convert to fraction form
    43,921.50/85,635 = 85,635/x
  3. Step 3: Cross multiply
    43,921.50x = 85,635 × 85,635
  4. Step 4: Simplify right side
    43,921.50x = 7,333,353,225
  5. Step 5: Solve for x
    x = 7,333,353,225/43,921.50
  6. Step 6: Final answer
    x = 166,965.00

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.