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Finding the Third Proportional to 4,923 and 10,529

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Solution

The third proportional to 4,923 and 10,529 is: 22,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923 : 10,529 = 10,529 : x
  2. Step 2: Convert to fraction form
    4,923/10,529 = 10,529/x
  3. Step 3: Cross multiply
    4,923x = 10,529 × 10,529
  4. Step 4: Simplify right side
    4,923x = 110,859,841
  5. Step 5: Solve for x
    x = 110,859,841/4,923
  6. Step 6: Final answer
    x = 22,518.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.