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Finding the Third Proportional to 7,677 and 10,119

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Solution

The third proportional to 7,677 and 10,119 is: 13,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 10,119 = 10,119 : x
  2. Step 2: Convert to fraction form
    7,677/10,119 = 10,119/x
  3. Step 3: Cross multiply
    7,677x = 10,119 × 10,119
  4. Step 4: Simplify right side
    7,677x = 102,394,161
  5. Step 5: Solve for x
    x = 102,394,161/7,677
  6. Step 6: Final answer
    x = 13,337.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.