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Finding the Third Proportional to 9,212.25 and 19,871.25

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Solution

The third proportional to 9,212.25 and 19,871.25 is: 42,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.25 : 19,871.25 = 19,871.25 : x
  2. Step 2: Convert to fraction form
    9,212.25/19,871.25 = 19,871.25/x
  3. Step 3: Cross multiply
    9,212.25x = 19,871.25 × 19,871.25
  4. Step 4: Simplify right side
    9,212.25x = 394,866,576.56
  5. Step 5: Solve for x
    x = 394,866,576.56/9,212.25
  6. Step 6: Final answer
    x = 42,863.21

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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.