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Finding the Third Proportional to 8,174.25 and 19,274.63

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Solution

The third proportional to 8,174.25 and 19,274.63 is: 45,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.25 : 19,274.63 = 19,274.63 : x
  2. Step 2: Convert to fraction form
    8,174.25/19,274.63 = 19,274.63/x
  3. Step 3: Cross multiply
    8,174.25x = 19,274.63 × 19,274.63
  4. Step 4: Simplify right side
    8,174.25x = 371,511,168.89
  5. Step 5: Solve for x
    x = 371,511,168.89/8,174.25
  6. Step 6: Final answer
    x = 45,448.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.