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Finding the Third Proportional to 12,986 and 28,049

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Solution

The third proportional to 12,986 and 28,049 is: 60,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986 : 28,049 = 28,049 : x
  2. Step 2: Convert to fraction form
    12,986/28,049 = 28,049/x
  3. Step 3: Cross multiply
    12,986x = 28,049 × 28,049
  4. Step 4: Simplify right side
    12,986x = 786,746,401
  5. Step 5: Solve for x
    x = 786,746,401/12,986
  6. Step 6: Final answer
    x = 60,584.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.