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Finding the Third Proportional to 20,864.25 and 32,354.44

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Solution

The third proportional to 20,864.25 and 32,354.44 is: 50,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864.25 : 32,354.44 = 32,354.44 : x
  2. Step 2: Convert to fraction form
    20,864.25/32,354.44 = 32,354.44/x
  3. Step 3: Cross multiply
    20,864.25x = 32,354.44 × 32,354.44
  4. Step 4: Simplify right side
    20,864.25x = 1,046,809,625.94
  5. Step 5: Solve for x
    x = 1,046,809,625.94/20,864.25
  6. Step 6: Final answer
    x = 50,172.41

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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.