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Finding the Third Proportional to 16,829 and 36,938

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Solution

The third proportional to 16,829 and 36,938 is: 81,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829 : 36,938 = 36,938 : x
  2. Step 2: Convert to fraction form
    16,829/36,938 = 36,938/x
  3. Step 3: Cross multiply
    16,829x = 36,938 × 36,938
  4. Step 4: Simplify right side
    16,829x = 1,364,415,844
  5. Step 5: Solve for x
    x = 1,364,415,844/16,829
  6. Step 6: Final answer
    x = 81,075.28

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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.