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Finding the Third Proportional to 16,713 and 35,977

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Solution

The third proportional to 16,713 and 35,977 is: 77,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,713 : 35,977 = 35,977 : x
  2. Step 2: Convert to fraction form
    16,713/35,977 = 35,977/x
  3. Step 3: Cross multiply
    16,713x = 35,977 × 35,977
  4. Step 4: Simplify right side
    16,713x = 1,294,344,529
  5. Step 5: Solve for x
    x = 1,294,344,529/16,713
  6. Step 6: Final answer
    x = 77,445.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.