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Finding the Third Proportional to 4,412 and 4,916

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Solution

The third proportional to 4,412 and 4,916 is: 5,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412 : 4,916 = 4,916 : x
  2. Step 2: Convert to fraction form
    4,412/4,916 = 4,916/x
  3. Step 3: Cross multiply
    4,412x = 4,916 × 4,916
  4. Step 4: Simplify right side
    4,412x = 24,167,056
  5. Step 5: Solve for x
    x = 24,167,056/4,412
  6. Step 6: Final answer
    x = 5,477.57

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.