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Finding the Third Proportional to 23,383.69 and 36,100.69

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Solution

The third proportional to 23,383.69 and 36,100.69 is: 55,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.69 : 36,100.69 = 36,100.69 : x
  2. Step 2: Convert to fraction form
    23,383.69/36,100.69 = 36,100.69/x
  3. Step 3: Cross multiply
    23,383.69x = 36,100.69 × 36,100.69
  4. Step 4: Simplify right side
    23,383.69x = 1,303,259,637.97
  5. Step 5: Solve for x
    x = 1,303,259,637.97/23,383.69
  6. Step 6: Final answer
    x = 55,733.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.