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Finding the Third Proportional to 6,583 and 14,099

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Solution

The third proportional to 6,583 and 14,099 is: 30,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583 : 14,099 = 14,099 : x
  2. Step 2: Convert to fraction form
    6,583/14,099 = 14,099/x
  3. Step 3: Cross multiply
    6,583x = 14,099 × 14,099
  4. Step 4: Simplify right side
    6,583x = 198,781,801
  5. Step 5: Solve for x
    x = 198,781,801/6,583
  6. Step 6: Final answer
    x = 30,196.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.