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Finding the Third Proportional to 10,027.50 and 21,825

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Solution

The third proportional to 10,027.50 and 21,825 is: 47,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.50 : 21,825 = 21,825 : x
  2. Step 2: Convert to fraction form
    10,027.50/21,825 = 21,825/x
  3. Step 3: Cross multiply
    10,027.50x = 21,825 × 21,825
  4. Step 4: Simplify right side
    10,027.50x = 476,330,625
  5. Step 5: Solve for x
    x = 476,330,625/10,027.50
  6. Step 6: Final answer
    x = 47,502.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.