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Finding the Third Proportional to 16,869.94 and 36,369.84

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Solution

The third proportional to 16,869.94 and 36,369.84 is: 78,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869.94 : 36,369.84 = 36,369.84 : x
  2. Step 2: Convert to fraction form
    16,869.94/36,369.84 = 36,369.84/x
  3. Step 3: Cross multiply
    16,869.94x = 36,369.84 × 36,369.84
  4. Step 4: Simplify right side
    16,869.94x = 1,322,765,534.40
  5. Step 5: Solve for x
    x = 1,322,765,534.40/16,869.94
  6. Step 6: Final answer
    x = 78,409.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.