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Finding the Third Proportional to 2,399 and 3,755

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Solution

The third proportional to 2,399 and 3,755 is: 5,877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399 : 3,755 = 3,755 : x
  2. Step 2: Convert to fraction form
    2,399/3,755 = 3,755/x
  3. Step 3: Cross multiply
    2,399x = 3,755 × 3,755
  4. Step 4: Simplify right side
    2,399x = 14,100,025
  5. Step 5: Solve for x
    x = 14,100,025/2,399
  6. Step 6: Final answer
    x = 5,877.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.