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Finding the Third Proportional to 17,802 and 36,114.75

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Solution

The third proportional to 17,802 and 36,114.75 is: 73,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802 : 36,114.75 = 36,114.75 : x
  2. Step 2: Convert to fraction form
    17,802/36,114.75 = 36,114.75/x
  3. Step 3: Cross multiply
    17,802x = 36,114.75 × 36,114.75
  4. Step 4: Simplify right side
    17,802x = 1,304,275,167.56
  5. Step 5: Solve for x
    x = 1,304,275,167.56/17,802
  6. Step 6: Final answer
    x = 73,265.65

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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.