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Finding the Third Proportional to 3,770 and 6,652

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Solution

The third proportional to 3,770 and 6,652 is: 11,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770 : 6,652 = 6,652 : x
  2. Step 2: Convert to fraction form
    3,770/6,652 = 6,652/x
  3. Step 3: Cross multiply
    3,770x = 6,652 × 6,652
  4. Step 4: Simplify right side
    3,770x = 44,249,104
  5. Step 5: Solve for x
    x = 44,249,104/3,770
  6. Step 6: Final answer
    x = 11,737.16

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.