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Finding the Third Proportional to 17,677 and 38,063

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Solution

The third proportional to 17,677 and 38,063 is: 81,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677 : 38,063 = 38,063 : x
  2. Step 2: Convert to fraction form
    17,677/38,063 = 38,063/x
  3. Step 3: Cross multiply
    17,677x = 38,063 × 38,063
  4. Step 4: Simplify right side
    17,677x = 1,448,791,969
  5. Step 5: Solve for x
    x = 1,448,791,969/17,677
  6. Step 6: Final answer
    x = 81,959.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.