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Finding the Third Proportional to 3,402 and 8,196

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Solution

The third proportional to 3,402 and 8,196 is: 19,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402 : 8,196 = 8,196 : x
  2. Step 2: Convert to fraction form
    3,402/8,196 = 8,196/x
  3. Step 3: Cross multiply
    3,402x = 8,196 × 8,196
  4. Step 4: Simplify right side
    3,402x = 67,174,416
  5. Step 5: Solve for x
    x = 67,174,416/3,402
  6. Step 6: Final answer
    x = 19,745.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.