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Finding the Third Proportional to 16,318 and 35,763

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Solution

The third proportional to 16,318 and 35,763 is: 78,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,318 : 35,763 = 35,763 : x
  2. Step 2: Convert to fraction form
    16,318/35,763 = 35,763/x
  3. Step 3: Cross multiply
    16,318x = 35,763 × 35,763
  4. Step 4: Simplify right side
    16,318x = 1,278,992,169
  5. Step 5: Solve for x
    x = 1,278,992,169/16,318
  6. Step 6: Final answer
    x = 78,379.22

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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.