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Finding the Third Proportional to 3,757 and 4,804

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Solution

The third proportional to 3,757 and 4,804 is: 6,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757 : 4,804 = 4,804 : x
  2. Step 2: Convert to fraction form
    3,757/4,804 = 4,804/x
  3. Step 3: Cross multiply
    3,757x = 4,804 × 4,804
  4. Step 4: Simplify right side
    3,757x = 23,078,416
  5. Step 5: Solve for x
    x = 23,078,416/3,757
  6. Step 6: Final answer
    x = 6,142.78

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.