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Finding the Third Proportional to 3,215.11 and 4,503.73

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Solution

The third proportional to 3,215.11 and 4,503.73 is: 6,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.11 : 4,503.73 = 4,503.73 : x
  2. Step 2: Convert to fraction form
    3,215.11/4,503.73 = 4,503.73/x
  3. Step 3: Cross multiply
    3,215.11x = 4,503.73 × 4,503.73
  4. Step 4: Simplify right side
    3,215.11x = 20,283,552.95
  5. Step 5: Solve for x
    x = 20,283,552.95/3,215.11
  6. Step 6: Final answer
    x = 6,308.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.