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Finding the Third Proportional to 17,757 and 38,106

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Solution

The third proportional to 17,757 and 38,106 is: 81,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757 : 38,106 = 38,106 : x
  2. Step 2: Convert to fraction form
    17,757/38,106 = 38,106/x
  3. Step 3: Cross multiply
    17,757x = 38,106 × 38,106
  4. Step 4: Simplify right side
    17,757x = 1,452,067,236
  5. Step 5: Solve for x
    x = 1,452,067,236/17,757
  6. Step 6: Final answer
    x = 81,774.36

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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.