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Finding the Third Proportional to 9,192.38 and 19,940.25

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Solution

The third proportional to 9,192.38 and 19,940.25 is: 43,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.38 : 19,940.25 = 19,940.25 : x
  2. Step 2: Convert to fraction form
    9,192.38/19,940.25 = 19,940.25/x
  3. Step 3: Cross multiply
    9,192.38x = 19,940.25 × 19,940.25
  4. Step 4: Simplify right side
    9,192.38x = 397,613,570.06
  5. Step 5: Solve for x
    x = 397,613,570.06/9,192.38
  6. Step 6: Final answer
    x = 43,254.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.