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Finding the Third Proportional to 13,817 and 29,842

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Solution

The third proportional to 13,817 and 29,842 is: 64,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817 : 29,842 = 29,842 : x
  2. Step 2: Convert to fraction form
    13,817/29,842 = 29,842/x
  3. Step 3: Cross multiply
    13,817x = 29,842 × 29,842
  4. Step 4: Simplify right side
    13,817x = 890,544,964
  5. Step 5: Solve for x
    x = 890,544,964/13,817
  6. Step 6: Final answer
    x = 64,452.85

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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.