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Finding the Third Proportional to 13,486.50 and 28,647

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Solution

The third proportional to 13,486.50 and 28,647 is: 60,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.50 : 28,647 = 28,647 : x
  2. Step 2: Convert to fraction form
    13,486.50/28,647 = 28,647/x
  3. Step 3: Cross multiply
    13,486.50x = 28,647 × 28,647
  4. Step 4: Simplify right side
    13,486.50x = 820,650,609
  5. Step 5: Solve for x
    x = 820,650,609/13,486.50
  6. Step 6: Final answer
    x = 60,849.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.