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Finding the Third Proportional to 4,704 and 7,696

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Solution

The third proportional to 4,704 and 7,696 is: 12,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704 : 7,696 = 7,696 : x
  2. Step 2: Convert to fraction form
    4,704/7,696 = 7,696/x
  3. Step 3: Cross multiply
    4,704x = 7,696 × 7,696
  4. Step 4: Simplify right side
    4,704x = 59,228,416
  5. Step 5: Solve for x
    x = 59,228,416/4,704
  6. Step 6: Final answer
    x = 12,591.07

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.