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Finding the Third Proportional to 16,187 and 34,623

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Solution

The third proportional to 16,187 and 34,623 is: 74,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187 : 34,623 = 34,623 : x
  2. Step 2: Convert to fraction form
    16,187/34,623 = 34,623/x
  3. Step 3: Cross multiply
    16,187x = 34,623 × 34,623
  4. Step 4: Simplify right side
    16,187x = 1,198,752,129
  5. Step 5: Solve for x
    x = 1,198,752,129/16,187
  6. Step 6: Final answer
    x = 74,056.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.