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Finding the Third Proportional to 4,179.94 and 9,012.94

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Solution

The third proportional to 4,179.94 and 9,012.94 is: 19,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.94 : 9,012.94 = 9,012.94 : x
  2. Step 2: Convert to fraction form
    4,179.94/9,012.94 = 9,012.94/x
  3. Step 3: Cross multiply
    4,179.94x = 9,012.94 × 9,012.94
  4. Step 4: Simplify right side
    4,179.94x = 81,233,042.38
  5. Step 5: Solve for x
    x = 81,233,042.38/4,179.94
  6. Step 6: Final answer
    x = 19,434.03

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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.