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Finding the Third Proportional to 35,235 and 87,540.75

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Solution

The third proportional to 35,235 and 87,540.75 is: 217,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,235 : 87,540.75 = 87,540.75 : x
  2. Step 2: Convert to fraction form
    35,235/87,540.75 = 87,540.75/x
  3. Step 3: Cross multiply
    35,235x = 87,540.75 × 87,540.75
  4. Step 4: Simplify right side
    35,235x = 7,663,382,910.56
  5. Step 5: Solve for x
    x = 7,663,382,910.56/35,235
  6. Step 6: Final answer
    x = 217,493.48

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.