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Finding the Third Proportional to 3,408 and 5,240

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Solution

The third proportional to 3,408 and 5,240 is: 8,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408 : 5,240 = 5,240 : x
  2. Step 2: Convert to fraction form
    3,408/5,240 = 5,240/x
  3. Step 3: Cross multiply
    3,408x = 5,240 × 5,240
  4. Step 4: Simplify right side
    3,408x = 27,457,600
  5. Step 5: Solve for x
    x = 27,457,600/3,408
  6. Step 6: Final answer
    x = 8,056.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.