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Finding the Third Proportional to 31,240.69 and 33,427.69

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Solution

The third proportional to 31,240.69 and 33,427.69 is: 35,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,240.69 : 33,427.69 = 33,427.69 : x
  2. Step 2: Convert to fraction form
    31,240.69/33,427.69 = 33,427.69/x
  3. Step 3: Cross multiply
    31,240.69x = 33,427.69 × 33,427.69
  4. Step 4: Simplify right side
    31,240.69x = 1,117,410,291.60
  5. Step 5: Solve for x
    x = 1,117,410,291.60/31,240.69
  6. Step 6: Final answer
    x = 35,767.79

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.