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Finding the Third Proportional to 16,858.50 and 36,739.50

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Solution

The third proportional to 16,858.50 and 36,739.50 is: 80,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.50 : 36,739.50 = 36,739.50 : x
  2. Step 2: Convert to fraction form
    16,858.50/36,739.50 = 36,739.50/x
  3. Step 3: Cross multiply
    16,858.50x = 36,739.50 × 36,739.50
  4. Step 4: Simplify right side
    16,858.50x = 1,349,790,860.25
  5. Step 5: Solve for x
    x = 1,349,790,860.25/16,858.50
  6. Step 6: Final answer
    x = 80,065.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.