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Finding the Third Proportional to 7,735.92 and 11,620.97

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Solution

The third proportional to 7,735.92 and 11,620.97 is: 17,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.92 : 11,620.97 = 11,620.97 : x
  2. Step 2: Convert to fraction form
    7,735.92/11,620.97 = 11,620.97/x
  3. Step 3: Cross multiply
    7,735.92x = 11,620.97 × 11,620.97
  4. Step 4: Simplify right side
    7,735.92x = 135,046,914.69
  5. Step 5: Solve for x
    x = 135,046,914.69/7,735.92
  6. Step 6: Final answer
    x = 17,457.12

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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.