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Finding the Third Proportional to 5,229 and 7,977

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Solution

The third proportional to 5,229 and 7,977 is: 12,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229 : 7,977 = 7,977 : x
  2. Step 2: Convert to fraction form
    5,229/7,977 = 7,977/x
  3. Step 3: Cross multiply
    5,229x = 7,977 × 7,977
  4. Step 4: Simplify right side
    5,229x = 63,632,529
  5. Step 5: Solve for x
    x = 63,632,529/5,229
  6. Step 6: Final answer
    x = 12,169.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.