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Finding the Third Proportional to 16,760 and 33,097

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Solution

The third proportional to 16,760 and 33,097 is: 65,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760 : 33,097 = 33,097 : x
  2. Step 2: Convert to fraction form
    16,760/33,097 = 33,097/x
  3. Step 3: Cross multiply
    16,760x = 33,097 × 33,097
  4. Step 4: Simplify right side
    16,760x = 1,095,411,409
  5. Step 5: Solve for x
    x = 1,095,411,409/16,760
  6. Step 6: Final answer
    x = 65,358.68

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.