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Finding the Third Proportional to 7,923.50 and 17,017

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Solution

The third proportional to 7,923.50 and 17,017 is: 36,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.50 : 17,017 = 17,017 : x
  2. Step 2: Convert to fraction form
    7,923.50/17,017 = 17,017/x
  3. Step 3: Cross multiply
    7,923.50x = 17,017 × 17,017
  4. Step 4: Simplify right side
    7,923.50x = 289,578,289
  5. Step 5: Solve for x
    x = 289,578,289/7,923.50
  6. Step 6: Final answer
    x = 36,546.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.