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Finding the Third Proportional to 7,450.73 and 16,285.43

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Solution

The third proportional to 7,450.73 and 16,285.43 is: 35,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.73 : 16,285.43 = 16,285.43 : x
  2. Step 2: Convert to fraction form
    7,450.73/16,285.43 = 16,285.43/x
  3. Step 3: Cross multiply
    7,450.73x = 16,285.43 × 16,285.43
  4. Step 4: Simplify right side
    7,450.73x = 265,215,220.11
  5. Step 5: Solve for x
    x = 265,215,220.11/7,450.73
  6. Step 6: Final answer
    x = 35,595.85

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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.