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Finding the Third Proportional to 16,442 and 36,013

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Solution

The third proportional to 16,442 and 36,013 is: 78,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442 : 36,013 = 36,013 : x
  2. Step 2: Convert to fraction form
    16,442/36,013 = 36,013/x
  3. Step 3: Cross multiply
    16,442x = 36,013 × 36,013
  4. Step 4: Simplify right side
    16,442x = 1,296,936,169
  5. Step 5: Solve for x
    x = 1,296,936,169/16,442
  6. Step 6: Final answer
    x = 78,879.47

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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.