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Finding the Third Proportional to 5,682 and 14,124

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Solution

The third proportional to 5,682 and 14,124 is: 35,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682 : 14,124 = 14,124 : x
  2. Step 2: Convert to fraction form
    5,682/14,124 = 14,124/x
  3. Step 3: Cross multiply
    5,682x = 14,124 × 14,124
  4. Step 4: Simplify right side
    5,682x = 199,487,376
  5. Step 5: Solve for x
    x = 199,487,376/5,682
  6. Step 6: Final answer
    x = 35,108.65

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.