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Finding the Third Proportional to 13,997 and 29,602

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Solution

The third proportional to 13,997 and 29,602 is: 62,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997 : 29,602 = 29,602 : x
  2. Step 2: Convert to fraction form
    13,997/29,602 = 29,602/x
  3. Step 3: Cross multiply
    13,997x = 29,602 × 29,602
  4. Step 4: Simplify right side
    13,997x = 876,278,404
  5. Step 5: Solve for x
    x = 876,278,404/13,997
  6. Step 6: Final answer
    x = 62,604.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.