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Finding the Third Proportional to 12,614 and 26,049

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Solution

The third proportional to 12,614 and 26,049 is: 53,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614 : 26,049 = 26,049 : x
  2. Step 2: Convert to fraction form
    12,614/26,049 = 26,049/x
  3. Step 3: Cross multiply
    12,614x = 26,049 × 26,049
  4. Step 4: Simplify right side
    12,614x = 678,550,401
  5. Step 5: Solve for x
    x = 678,550,401/12,614
  6. Step 6: Final answer
    x = 53,793.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.