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Finding the Third Proportional to 2,099 and 3,685

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Solution

The third proportional to 2,099 and 3,685 is: 6,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099 : 3,685 = 3,685 : x
  2. Step 2: Convert to fraction form
    2,099/3,685 = 3,685/x
  3. Step 3: Cross multiply
    2,099x = 3,685 × 3,685
  4. Step 4: Simplify right side
    2,099x = 13,579,225
  5. Step 5: Solve for x
    x = 13,579,225/2,099
  6. Step 6: Final answer
    x = 6,469.38

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.