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Finding the Third Proportional to 16,996 and 36,816.50

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Solution

The third proportional to 16,996 and 36,816.50 is: 79,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,996 : 36,816.50 = 36,816.50 : x
  2. Step 2: Convert to fraction form
    16,996/36,816.50 = 36,816.50/x
  3. Step 3: Cross multiply
    16,996x = 36,816.50 × 36,816.50
  4. Step 4: Simplify right side
    16,996x = 1,355,454,672.25
  5. Step 5: Solve for x
    x = 1,355,454,672.25/16,996
  6. Step 6: Final answer
    x = 79,751.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.