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Finding the Third Proportional to 7,438.69 and 10,200.19

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Solution

The third proportional to 7,438.69 and 10,200.19 is: 13,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.69 : 10,200.19 = 10,200.19 : x
  2. Step 2: Convert to fraction form
    7,438.69/10,200.19 = 10,200.19/x
  3. Step 3: Cross multiply
    7,438.69x = 10,200.19 × 10,200.19
  4. Step 4: Simplify right side
    7,438.69x = 104,043,825.04
  5. Step 5: Solve for x
    x = 104,043,825.04/7,438.69
  6. Step 6: Final answer
    x = 13,986.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.