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Finding the Third Proportional to 14,591 and 20,647

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Solution

The third proportional to 14,591 and 20,647 is: 29,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591 : 20,647 = 20,647 : x
  2. Step 2: Convert to fraction form
    14,591/20,647 = 20,647/x
  3. Step 3: Cross multiply
    14,591x = 20,647 × 20,647
  4. Step 4: Simplify right side
    14,591x = 426,298,609
  5. Step 5: Solve for x
    x = 426,298,609/14,591
  6. Step 6: Final answer
    x = 29,216.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.