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Finding the Third Proportional to 5,798 and 13,682

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Solution

The third proportional to 5,798 and 13,682 is: 32,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798 : 13,682 = 13,682 : x
  2. Step 2: Convert to fraction form
    5,798/13,682 = 13,682/x
  3. Step 3: Cross multiply
    5,798x = 13,682 × 13,682
  4. Step 4: Simplify right side
    5,798x = 187,197,124
  5. Step 5: Solve for x
    x = 187,197,124/5,798
  6. Step 6: Final answer
    x = 32,286.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.