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Finding the Third Proportional to 17,417 and 36,904

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Solution

The third proportional to 17,417 and 36,904 is: 78,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417 : 36,904 = 36,904 : x
  2. Step 2: Convert to fraction form
    17,417/36,904 = 36,904/x
  3. Step 3: Cross multiply
    17,417x = 36,904 × 36,904
  4. Step 4: Simplify right side
    17,417x = 1,361,905,216
  5. Step 5: Solve for x
    x = 1,361,905,216/17,417
  6. Step 6: Final answer
    x = 78,194.02

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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.