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Finding the Third Proportional to 40,983.50 and 89,075

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Solution

The third proportional to 40,983.50 and 89,075 is: 193,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,983.50 : 89,075 = 89,075 : x
  2. Step 2: Convert to fraction form
    40,983.50/89,075 = 89,075/x
  3. Step 3: Cross multiply
    40,983.50x = 89,075 × 89,075
  4. Step 4: Simplify right side
    40,983.50x = 7,934,355,625
  5. Step 5: Solve for x
    x = 7,934,355,625/40,983.50
  6. Step 6: Final answer
    x = 193,598.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.