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Finding the Third Proportional to 16,991 and 36,596

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Solution

The third proportional to 16,991 and 36,596 is: 78,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,991 : 36,596 = 36,596 : x
  2. Step 2: Convert to fraction form
    16,991/36,596 = 36,596/x
  3. Step 3: Cross multiply
    16,991x = 36,596 × 36,596
  4. Step 4: Simplify right side
    16,991x = 1,339,267,216
  5. Step 5: Solve for x
    x = 1,339,267,216/16,991
  6. Step 6: Final answer
    x = 78,822.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.