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Finding the Third Proportional to 12,997 and 28,073

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Solution

The third proportional to 12,997 and 28,073 is: 60,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997 : 28,073 = 28,073 : x
  2. Step 2: Convert to fraction form
    12,997/28,073 = 28,073/x
  3. Step 3: Cross multiply
    12,997x = 28,073 × 28,073
  4. Step 4: Simplify right side
    12,997x = 788,093,329
  5. Step 5: Solve for x
    x = 788,093,329/12,997
  6. Step 6: Final answer
    x = 60,636.56

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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.