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Finding the Third Proportional to 11,850.75 and 27,434.81

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Solution

The third proportional to 11,850.75 and 27,434.81 is: 63,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.75 : 27,434.81 = 27,434.81 : x
  2. Step 2: Convert to fraction form
    11,850.75/27,434.81 = 27,434.81/x
  3. Step 3: Cross multiply
    11,850.75x = 27,434.81 × 27,434.81
  4. Step 4: Simplify right side
    11,850.75x = 752,668,936.91
  5. Step 5: Solve for x
    x = 752,668,936.91/11,850.75
  6. Step 6: Final answer
    x = 63,512.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.