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Finding the Third Proportional to 17,837 and 39,079

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Solution

The third proportional to 17,837 and 39,079 is: 85,618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837 : 39,079 = 39,079 : x
  2. Step 2: Convert to fraction form
    17,837/39,079 = 39,079/x
  3. Step 3: Cross multiply
    17,837x = 39,079 × 39,079
  4. Step 4: Simplify right side
    17,837x = 1,527,168,241
  5. Step 5: Solve for x
    x = 1,527,168,241/17,837
  6. Step 6: Final answer
    x = 85,618.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.