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Finding the Third Proportional to 16,893 and 36,531

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Solution

The third proportional to 16,893 and 36,531 is: 78,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893 : 36,531 = 36,531 : x
  2. Step 2: Convert to fraction form
    16,893/36,531 = 36,531/x
  3. Step 3: Cross multiply
    16,893x = 36,531 × 36,531
  4. Step 4: Simplify right side
    16,893x = 1,334,513,961
  5. Step 5: Solve for x
    x = 1,334,513,961/16,893
  6. Step 6: Final answer
    x = 78,998.04

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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.