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Finding the Third Proportional to 3,697 and 6,842

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Solution

The third proportional to 3,697 and 6,842 is: 12,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 6,842 = 6,842 : x
  2. Step 2: Convert to fraction form
    3,697/6,842 = 6,842/x
  3. Step 3: Cross multiply
    3,697x = 6,842 × 6,842
  4. Step 4: Simplify right side
    3,697x = 46,812,964
  5. Step 5: Solve for x
    x = 46,812,964/3,697
  6. Step 6: Final answer
    x = 12,662.42

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.