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Finding the Third Proportional to 19,217 and 28,825

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Solution

The third proportional to 19,217 and 28,825 is: 43,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,217 : 28,825 = 28,825 : x
  2. Step 2: Convert to fraction form
    19,217/28,825 = 28,825/x
  3. Step 3: Cross multiply
    19,217x = 28,825 × 28,825
  4. Step 4: Simplify right side
    19,217x = 830,880,625
  5. Step 5: Solve for x
    x = 830,880,625/19,217
  6. Step 6: Final answer
    x = 43,236.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.