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Finding the Third Proportional to 4,104.56 and 9,003.94

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Solution

The third proportional to 4,104.56 and 9,003.94 is: 19,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.56 : 9,003.94 = 9,003.94 : x
  2. Step 2: Convert to fraction form
    4,104.56/9,003.94 = 9,003.94/x
  3. Step 3: Cross multiply
    4,104.56x = 9,003.94 × 9,003.94
  4. Step 4: Simplify right side
    4,104.56x = 81,070,890.50
  5. Step 5: Solve for x
    x = 81,070,890.50/4,104.56
  6. Step 6: Final answer
    x = 19,751.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.