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Finding the Third Proportional to 5,114 and 7,696

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Solution

The third proportional to 5,114 and 7,696 is: 11,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 7,696 = 7,696 : x
  2. Step 2: Convert to fraction form
    5,114/7,696 = 7,696/x
  3. Step 3: Cross multiply
    5,114x = 7,696 × 7,696
  4. Step 4: Simplify right side
    5,114x = 59,228,416
  5. Step 5: Solve for x
    x = 59,228,416/5,114
  6. Step 6: Final answer
    x = 11,581.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.