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Finding the Third Proportional to 3,841 and 8,402

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Solution

The third proportional to 3,841 and 8,402 is: 18,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841 : 8,402 = 8,402 : x
  2. Step 2: Convert to fraction form
    3,841/8,402 = 8,402/x
  3. Step 3: Cross multiply
    3,841x = 8,402 × 8,402
  4. Step 4: Simplify right side
    3,841x = 70,593,604
  5. Step 5: Solve for x
    x = 70,593,604/3,841
  6. Step 6: Final answer
    x = 18,378.96

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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.