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Finding the Third Proportional to 17,455 and 38,779

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Solution

The third proportional to 17,455 and 38,779 is: 86,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455 : 38,779 = 38,779 : x
  2. Step 2: Convert to fraction form
    17,455/38,779 = 38,779/x
  3. Step 3: Cross multiply
    17,455x = 38,779 × 38,779
  4. Step 4: Simplify right side
    17,455x = 1,503,810,841
  5. Step 5: Solve for x
    x = 1,503,810,841/17,455
  6. Step 6: Final answer
    x = 86,153.59

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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.