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Finding the Third Proportional to 16,693 and 36,515

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Solution

The third proportional to 16,693 and 36,515 is: 79,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693 : 36,515 = 36,515 : x
  2. Step 2: Convert to fraction form
    16,693/36,515 = 36,515/x
  3. Step 3: Cross multiply
    16,693x = 36,515 × 36,515
  4. Step 4: Simplify right side
    16,693x = 1,333,345,225
  5. Step 5: Solve for x
    x = 1,333,345,225/16,693
  6. Step 6: Final answer
    x = 79,874.51

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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.