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Finding the Third Proportional to 7,396.27 and 10,104.84

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Solution

The third proportional to 7,396.27 and 10,104.84 is: 13,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.27 : 10,104.84 = 10,104.84 : x
  2. Step 2: Convert to fraction form
    7,396.27/10,104.84 = 10,104.84/x
  3. Step 3: Cross multiply
    7,396.27x = 10,104.84 × 10,104.84
  4. Step 4: Simplify right side
    7,396.27x = 102,107,867.21
  5. Step 5: Solve for x
    x = 102,107,867.21/7,396.27
  6. Step 6: Final answer
    x = 13,805.33

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Why These Related Problems?

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