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Finding the Third Proportional to 17,079 and 37,113

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Solution

The third proportional to 17,079 and 37,113 is: 80,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,079 : 37,113 = 37,113 : x
  2. Step 2: Convert to fraction form
    17,079/37,113 = 37,113/x
  3. Step 3: Cross multiply
    17,079x = 37,113 × 37,113
  4. Step 4: Simplify right side
    17,079x = 1,377,374,769
  5. Step 5: Solve for x
    x = 1,377,374,769/17,079
  6. Step 6: Final answer
    x = 80,647.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.