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Finding the Third Proportional to 6,659 and 14,419

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Solution

The third proportional to 6,659 and 14,419 is: 31,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659 : 14,419 = 14,419 : x
  2. Step 2: Convert to fraction form
    6,659/14,419 = 14,419/x
  3. Step 3: Cross multiply
    6,659x = 14,419 × 14,419
  4. Step 4: Simplify right side
    6,659x = 207,907,561
  5. Step 5: Solve for x
    x = 207,907,561/6,659
  6. Step 6: Final answer
    x = 31,222.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.