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Finding the Third Proportional to 16,972 and 36,536

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Solution

The third proportional to 16,972 and 36,536 is: 78,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972 : 36,536 = 36,536 : x
  2. Step 2: Convert to fraction form
    16,972/36,536 = 36,536/x
  3. Step 3: Cross multiply
    16,972x = 36,536 × 36,536
  4. Step 4: Simplify right side
    16,972x = 1,334,879,296
  5. Step 5: Solve for x
    x = 1,334,879,296/16,972
  6. Step 6: Final answer
    x = 78,651.86

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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.