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Finding the Third Proportional to 16,769 and 36,653

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Solution

The third proportional to 16,769 and 36,653 is: 80,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769 : 36,653 = 36,653 : x
  2. Step 2: Convert to fraction form
    16,769/36,653 = 36,653/x
  3. Step 3: Cross multiply
    16,769x = 36,653 × 36,653
  4. Step 4: Simplify right side
    16,769x = 1,343,442,409
  5. Step 5: Solve for x
    x = 1,343,442,409/16,769
  6. Step 6: Final answer
    x = 80,114.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.