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Finding the Third Proportional to 35,270.44 and 54,635.34

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Solution

The third proportional to 35,270.44 and 54,635.34 is: 84,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,270.44 : 54,635.34 = 54,635.34 : x
  2. Step 2: Convert to fraction form
    35,270.44/54,635.34 = 54,635.34/x
  3. Step 3: Cross multiply
    35,270.44x = 54,635.34 × 54,635.34
  4. Step 4: Simplify right side
    35,270.44x = 2,985,020,786.68
  5. Step 5: Solve for x
    x = 2,985,020,786.68/35,270.44
  6. Step 6: Final answer
    x = 84,632.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.