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Finding the Third Proportional to 7,669.69 and 10,168.03

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Solution

The third proportional to 7,669.69 and 10,168.03 is: 13,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 10,168.03 = 10,168.03 : x
  2. Step 2: Convert to fraction form
    7,669.69/10,168.03 = 10,168.03/x
  3. Step 3: Cross multiply
    7,669.69x = 10,168.03 × 10,168.03
  4. Step 4: Simplify right side
    7,669.69x = 103,388,859.50
  5. Step 5: Solve for x
    x = 103,388,859.50/7,669.69
  6. Step 6: Final answer
    x = 13,480.19

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.