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Finding the Third Proportional to 4,042.41 and 8,735.34

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Solution

The third proportional to 4,042.41 and 8,735.34 is: 18,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.41 : 8,735.34 = 8,735.34 : x
  2. Step 2: Convert to fraction form
    4,042.41/8,735.34 = 8,735.34/x
  3. Step 3: Cross multiply
    4,042.41x = 8,735.34 × 8,735.34
  4. Step 4: Simplify right side
    4,042.41x = 76,306,230.43
  5. Step 5: Solve for x
    x = 76,306,230.43/4,042.41
  6. Step 6: Final answer
    x = 18,876.44

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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.