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Finding the Third Proportional to 17,715 and 38,541

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Solution

The third proportional to 17,715 and 38,541 is: 83,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715 : 38,541 = 38,541 : x
  2. Step 2: Convert to fraction form
    17,715/38,541 = 38,541/x
  3. Step 3: Cross multiply
    17,715x = 38,541 × 38,541
  4. Step 4: Simplify right side
    17,715x = 1,485,408,681
  5. Step 5: Solve for x
    x = 1,485,408,681/17,715
  6. Step 6: Final answer
    x = 83,850.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.