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Finding the Third Proportional to 3,840 and 5,945

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Solution

The third proportional to 3,840 and 5,945 is: 9,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 5,945 = 5,945 : x
  2. Step 2: Convert to fraction form
    3,840/5,945 = 5,945/x
  3. Step 3: Cross multiply
    3,840x = 5,945 × 5,945
  4. Step 4: Simplify right side
    3,840x = 35,343,025
  5. Step 5: Solve for x
    x = 35,343,025/3,840
  6. Step 6: Final answer
    x = 9,203.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.