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Finding the Third Proportional to 11,661.15 and 30,383.07

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Solution

The third proportional to 11,661.15 and 30,383.07 is: 79,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.15 : 30,383.07 = 30,383.07 : x
  2. Step 2: Convert to fraction form
    11,661.15/30,383.07 = 30,383.07/x
  3. Step 3: Cross multiply
    11,661.15x = 30,383.07 × 30,383.07
  4. Step 4: Simplify right side
    11,661.15x = 923,130,842.93
  5. Step 5: Solve for x
    x = 923,130,842.93/11,661.15
  6. Step 6: Final answer
    x = 79,162.92

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.