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Finding the Third Proportional to 16,883 and 36,646

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Solution

The third proportional to 16,883 and 36,646 is: 79,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,883 : 36,646 = 36,646 : x
  2. Step 2: Convert to fraction form
    16,883/36,646 = 36,646/x
  3. Step 3: Cross multiply
    16,883x = 36,646 × 36,646
  4. Step 4: Simplify right side
    16,883x = 1,342,929,316
  5. Step 5: Solve for x
    x = 1,342,929,316/16,883
  6. Step 6: Final answer
    x = 79,543.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.