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Finding the Third Proportional to 3,840 and 6,096

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Solution

The third proportional to 3,840 and 6,096 is: 9,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 6,096 = 6,096 : x
  2. Step 2: Convert to fraction form
    3,840/6,096 = 6,096/x
  3. Step 3: Cross multiply
    3,840x = 6,096 × 6,096
  4. Step 4: Simplify right side
    3,840x = 37,161,216
  5. Step 5: Solve for x
    x = 37,161,216/3,840
  6. Step 6: Final answer
    x = 9,677.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.