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Finding the Third Proportional to 4,962 and 10,916

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Solution

The third proportional to 4,962 and 10,916 is: 24,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962 : 10,916 = 10,916 : x
  2. Step 2: Convert to fraction form
    4,962/10,916 = 10,916/x
  3. Step 3: Cross multiply
    4,962x = 10,916 × 10,916
  4. Step 4: Simplify right side
    4,962x = 119,159,056
  5. Step 5: Solve for x
    x = 119,159,056/4,962
  6. Step 6: Final answer
    x = 24,014.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.