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Finding the Third Proportional to 40,945.50 and 89,529

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Solution

The third proportional to 40,945.50 and 89,529 is: 195,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,945.50 : 89,529 = 89,529 : x
  2. Step 2: Convert to fraction form
    40,945.50/89,529 = 89,529/x
  3. Step 3: Cross multiply
    40,945.50x = 89,529 × 89,529
  4. Step 4: Simplify right side
    40,945.50x = 8,015,441,841
  5. Step 5: Solve for x
    x = 8,015,441,841/40,945.50
  6. Step 6: Final answer
    x = 195,758.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.