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Finding the Third Proportional to 4,402 and 8,692

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Solution

The third proportional to 4,402 and 8,692 is: 17,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402 : 8,692 = 8,692 : x
  2. Step 2: Convert to fraction form
    4,402/8,692 = 8,692/x
  3. Step 3: Cross multiply
    4,402x = 8,692 × 8,692
  4. Step 4: Simplify right side
    4,402x = 75,550,864
  5. Step 5: Solve for x
    x = 75,550,864/4,402
  6. Step 6: Final answer
    x = 17,162.85

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.