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Finding the Third Proportional to 3,774 and 6,207

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Solution

The third proportional to 3,774 and 6,207 is: 10,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774 : 6,207 = 6,207 : x
  2. Step 2: Convert to fraction form
    3,774/6,207 = 6,207/x
  3. Step 3: Cross multiply
    3,774x = 6,207 × 6,207
  4. Step 4: Simplify right side
    3,774x = 38,526,849
  5. Step 5: Solve for x
    x = 38,526,849/3,774
  6. Step 6: Final answer
    x = 10,208.49

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.