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Finding the Third Proportional to 3,781.75 and 4,213.75

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Solution

The third proportional to 3,781.75 and 4,213.75 is: 4,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.75 : 4,213.75 = 4,213.75 : x
  2. Step 2: Convert to fraction form
    3,781.75/4,213.75 = 4,213.75/x
  3. Step 3: Cross multiply
    3,781.75x = 4,213.75 × 4,213.75
  4. Step 4: Simplify right side
    3,781.75x = 17,755,689.06
  5. Step 5: Solve for x
    x = 17,755,689.06/3,781.75
  6. Step 6: Final answer
    x = 4,695.10

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.