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Finding the Third Proportional to 20,207.75 and 43,913

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Solution

The third proportional to 20,207.75 and 43,913 is: 95,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.75 : 43,913 = 43,913 : x
  2. Step 2: Convert to fraction form
    20,207.75/43,913 = 43,913/x
  3. Step 3: Cross multiply
    20,207.75x = 43,913 × 43,913
  4. Step 4: Simplify right side
    20,207.75x = 1,928,351,569
  5. Step 5: Solve for x
    x = 1,928,351,569/20,207.75
  6. Step 6: Final answer
    x = 95,426.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.