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Finding the Third Proportional to 9,240.75 and 19,954.69

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Solution

The third proportional to 9,240.75 and 19,954.69 is: 43,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.75 : 19,954.69 = 19,954.69 : x
  2. Step 2: Convert to fraction form
    9,240.75/19,954.69 = 19,954.69/x
  3. Step 3: Cross multiply
    9,240.75x = 19,954.69 × 19,954.69
  4. Step 4: Simplify right side
    9,240.75x = 398,189,553.22
  5. Step 5: Solve for x
    x = 398,189,553.22/9,240.75
  6. Step 6: Final answer
    x = 43,090.61

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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.