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Finding the Third Proportional to 11,597 and 16,977

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Solution

The third proportional to 11,597 and 16,977 is: 24,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597 : 16,977 = 16,977 : x
  2. Step 2: Convert to fraction form
    11,597/16,977 = 16,977/x
  3. Step 3: Cross multiply
    11,597x = 16,977 × 16,977
  4. Step 4: Simplify right side
    11,597x = 288,218,529
  5. Step 5: Solve for x
    x = 288,218,529/11,597
  6. Step 6: Final answer
    x = 24,852.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.