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Finding the Third Proportional to 16,627 and 36,164

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Solution

The third proportional to 16,627 and 36,164 is: 78,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627 : 36,164 = 36,164 : x
  2. Step 2: Convert to fraction form
    16,627/36,164 = 36,164/x
  3. Step 3: Cross multiply
    16,627x = 36,164 × 36,164
  4. Step 4: Simplify right side
    16,627x = 1,307,834,896
  5. Step 5: Solve for x
    x = 1,307,834,896/16,627
  6. Step 6: Final answer
    x = 78,657.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.