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Finding the Third Proportional to 7,369.73 and 11,075.48

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Solution

The third proportional to 7,369.73 and 11,075.48 is: 16,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369.73 : 11,075.48 = 11,075.48 : x
  2. Step 2: Convert to fraction form
    7,369.73/11,075.48 = 11,075.48/x
  3. Step 3: Cross multiply
    7,369.73x = 11,075.48 × 11,075.48
  4. Step 4: Simplify right side
    7,369.73x = 122,666,354.14
  5. Step 5: Solve for x
    x = 122,666,354.14/7,369.73
  6. Step 6: Final answer
    x = 16,644.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.