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Finding the Third Proportional to 7,520.63 and 10,596.38

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Solution

The third proportional to 7,520.63 and 10,596.38 is: 14,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520.63 : 10,596.38 = 10,596.38 : x
  2. Step 2: Convert to fraction form
    7,520.63/10,596.38 = 10,596.38/x
  3. Step 3: Cross multiply
    7,520.63x = 10,596.38 × 10,596.38
  4. Step 4: Simplify right side
    7,520.63x = 112,283,163.14
  5. Step 5: Solve for x
    x = 112,283,163.14/7,520.63
  6. Step 6: Final answer
    x = 14,930.03

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.