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Finding the Third Proportional to 16,485 and 34,137

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Solution

The third proportional to 16,485 and 34,137 is: 70,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485 : 34,137 = 34,137 : x
  2. Step 2: Convert to fraction form
    16,485/34,137 = 34,137/x
  3. Step 3: Cross multiply
    16,485x = 34,137 × 34,137
  4. Step 4: Simplify right side
    16,485x = 1,165,334,769
  5. Step 5: Solve for x
    x = 1,165,334,769/16,485
  6. Step 6: Final answer
    x = 70,690.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.