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Finding the Third Proportional to 16,177 and 34,297

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Solution

The third proportional to 16,177 and 34,297 is: 72,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177 : 34,297 = 34,297 : x
  2. Step 2: Convert to fraction form
    16,177/34,297 = 34,297/x
  3. Step 3: Cross multiply
    16,177x = 34,297 × 34,297
  4. Step 4: Simplify right side
    16,177x = 1,176,284,209
  5. Step 5: Solve for x
    x = 1,176,284,209/16,177
  6. Step 6: Final answer
    x = 72,713.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.