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Finding the Third Proportional to 20,205.75 and 43,971.75

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Solution

The third proportional to 20,205.75 and 43,971.75 is: 95,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.75 : 43,971.75 = 43,971.75 : x
  2. Step 2: Convert to fraction form
    20,205.75/43,971.75 = 43,971.75/x
  3. Step 3: Cross multiply
    20,205.75x = 43,971.75 × 43,971.75
  4. Step 4: Simplify right side
    20,205.75x = 1,933,514,798.06
  5. Step 5: Solve for x
    x = 1,933,514,798.06/20,205.75
  6. Step 6: Final answer
    x = 95,691.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.