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Finding the Third Proportional to 9,748.31 and 13,940.44

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Solution

The third proportional to 9,748.31 and 13,940.44 is: 19,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.31 : 13,940.44 = 13,940.44 : x
  2. Step 2: Convert to fraction form
    9,748.31/13,940.44 = 13,940.44/x
  3. Step 3: Cross multiply
    9,748.31x = 13,940.44 × 13,940.44
  4. Step 4: Simplify right side
    9,748.31x = 194,335,797.69
  5. Step 5: Solve for x
    x = 194,335,797.69/9,748.31
  6. Step 6: Final answer
    x = 19,935.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.