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Finding the Third Proportional to 20,394 and 41,361.75

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Solution

The third proportional to 20,394 and 41,361.75 is: 83,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394 : 41,361.75 = 41,361.75 : x
  2. Step 2: Convert to fraction form
    20,394/41,361.75 = 41,361.75/x
  3. Step 3: Cross multiply
    20,394x = 41,361.75 × 41,361.75
  4. Step 4: Simplify right side
    20,394x = 1,710,794,363.06
  5. Step 5: Solve for x
    x = 1,710,794,363.06/20,394
  6. Step 6: Final answer
    x = 83,887.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.