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Finding the Third Proportional to 10,230.75 and 21,573

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Solution

The third proportional to 10,230.75 and 21,573 is: 45,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.75 : 21,573 = 21,573 : x
  2. Step 2: Convert to fraction form
    10,230.75/21,573 = 21,573/x
  3. Step 3: Cross multiply
    10,230.75x = 21,573 × 21,573
  4. Step 4: Simplify right side
    10,230.75x = 465,394,329
  5. Step 5: Solve for x
    x = 465,394,329/10,230.75
  6. Step 6: Final answer
    x = 45,489.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.