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Finding the Third Proportional to 6,479 and 16,639

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Solution

The third proportional to 6,479 and 16,639 is: 42,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479 : 16,639 = 16,639 : x
  2. Step 2: Convert to fraction form
    6,479/16,639 = 16,639/x
  3. Step 3: Cross multiply
    6,479x = 16,639 × 16,639
  4. Step 4: Simplify right side
    6,479x = 276,856,321
  5. Step 5: Solve for x
    x = 276,856,321/6,479
  6. Step 6: Final answer
    x = 42,731.34

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.