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Finding the Third Proportional to 3,842 and 6,341

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Solution

The third proportional to 3,842 and 6,341 is: 10,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842 : 6,341 = 6,341 : x
  2. Step 2: Convert to fraction form
    3,842/6,341 = 6,341/x
  3. Step 3: Cross multiply
    3,842x = 6,341 × 6,341
  4. Step 4: Simplify right side
    3,842x = 40,208,281
  5. Step 5: Solve for x
    x = 40,208,281/3,842
  6. Step 6: Final answer
    x = 10,465.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.