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Finding the Third Proportional to 8,592.75 and 17,965.13

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Solution

The third proportional to 8,592.75 and 17,965.13 is: 37,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.75 : 17,965.13 = 17,965.13 : x
  2. Step 2: Convert to fraction form
    8,592.75/17,965.13 = 17,965.13/x
  3. Step 3: Cross multiply
    8,592.75x = 17,965.13 × 17,965.13
  4. Step 4: Simplify right side
    8,592.75x = 322,745,716.27
  5. Step 5: Solve for x
    x = 322,745,716.27/8,592.75
  6. Step 6: Final answer
    x = 37,560.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.