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Finding the Third Proportional to 17,009 and 37,033

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Solution

The third proportional to 17,009 and 37,033 is: 80,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009 : 37,033 = 37,033 : x
  2. Step 2: Convert to fraction form
    17,009/37,033 = 37,033/x
  3. Step 3: Cross multiply
    17,009x = 37,033 × 37,033
  4. Step 4: Simplify right side
    17,009x = 1,371,443,089
  5. Step 5: Solve for x
    x = 1,371,443,089/17,009
  6. Step 6: Final answer
    x = 80,630.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.