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Finding the Third Proportional to 43,820.25 and 95,933

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Solution

The third proportional to 43,820.25 and 95,933 is: 210,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,820.25 : 95,933 = 95,933 : x
  2. Step 2: Convert to fraction form
    43,820.25/95,933 = 95,933/x
  3. Step 3: Cross multiply
    43,820.25x = 95,933 × 95,933
  4. Step 4: Simplify right side
    43,820.25x = 9,203,140,489
  5. Step 5: Solve for x
    x = 9,203,140,489/43,820.25
  6. Step 6: Final answer
    x = 210,020.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.