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Finding the Third Proportional to 7,896.23 and 17,022.66

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Solution

The third proportional to 7,896.23 and 17,022.66 is: 36,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.23 : 17,022.66 = 17,022.66 : x
  2. Step 2: Convert to fraction form
    7,896.23/17,022.66 = 17,022.66/x
  3. Step 3: Cross multiply
    7,896.23x = 17,022.66 × 17,022.66
  4. Step 4: Simplify right side
    7,896.23x = 289,770,825.81
  5. Step 5: Solve for x
    x = 289,770,825.81/7,896.23
  6. Step 6: Final answer
    x = 36,697.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.