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Finding the Third Proportional to 7,989.38 and 17,004

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Solution

The third proportional to 7,989.38 and 17,004 is: 36,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989.38 : 17,004 = 17,004 : x
  2. Step 2: Convert to fraction form
    7,989.38/17,004 = 17,004/x
  3. Step 3: Cross multiply
    7,989.38x = 17,004 × 17,004
  4. Step 4: Simplify right side
    7,989.38x = 289,136,016
  5. Step 5: Solve for x
    x = 289,136,016/7,989.38
  6. Step 6: Final answer
    x = 36,190.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.