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Finding the Third Proportional to 17,821.50 and 36,075

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Solution

The third proportional to 17,821.50 and 36,075 is: 73,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.50 : 36,075 = 36,075 : x
  2. Step 2: Convert to fraction form
    17,821.50/36,075 = 36,075/x
  3. Step 3: Cross multiply
    17,821.50x = 36,075 × 36,075
  4. Step 4: Simplify right side
    17,821.50x = 1,301,405,625
  5. Step 5: Solve for x
    x = 1,301,405,625/17,821.50
  6. Step 6: Final answer
    x = 73,024.47

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.