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Finding the Third Proportional to 4,588.50 and 9,825

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Solution

The third proportional to 4,588.50 and 9,825 is: 21,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.50 : 9,825 = 9,825 : x
  2. Step 2: Convert to fraction form
    4,588.50/9,825 = 9,825/x
  3. Step 3: Cross multiply
    4,588.50x = 9,825 × 9,825
  4. Step 4: Simplify right side
    4,588.50x = 96,530,625
  5. Step 5: Solve for x
    x = 96,530,625/4,588.50
  6. Step 6: Final answer
    x = 21,037.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.