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Finding the Third Proportional to 17,596 and 39,127

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Solution

The third proportional to 17,596 and 39,127 is: 87,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596 : 39,127 = 39,127 : x
  2. Step 2: Convert to fraction form
    17,596/39,127 = 39,127/x
  3. Step 3: Cross multiply
    17,596x = 39,127 × 39,127
  4. Step 4: Simplify right side
    17,596x = 1,530,922,129
  5. Step 5: Solve for x
    x = 1,530,922,129/17,596
  6. Step 6: Final answer
    x = 87,003.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.