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Finding the Third Proportional to 17,344.50 and 36,849

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Solution

The third proportional to 17,344.50 and 36,849 is: 78,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.50 : 36,849 = 36,849 : x
  2. Step 2: Convert to fraction form
    17,344.50/36,849 = 36,849/x
  3. Step 3: Cross multiply
    17,344.50x = 36,849 × 36,849
  4. Step 4: Simplify right side
    17,344.50x = 1,357,848,801
  5. Step 5: Solve for x
    x = 1,357,848,801/17,344.50
  6. Step 6: Final answer
    x = 78,287.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.