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Finding the Third Proportional to 30,224 and 65,825

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Solution

The third proportional to 30,224 and 65,825 is: 143,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224 : 65,825 = 65,825 : x
  2. Step 2: Convert to fraction form
    30,224/65,825 = 65,825/x
  3. Step 3: Cross multiply
    30,224x = 65,825 × 65,825
  4. Step 4: Simplify right side
    30,224x = 4,332,930,625
  5. Step 5: Solve for x
    x = 4,332,930,625/30,224
  6. Step 6: Final answer
    x = 143,360.60

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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.