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Finding the Third Proportional to 3,411 and 5,216.50

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Solution

The third proportional to 3,411 and 5,216.50 is: 7,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411 : 5,216.50 = 5,216.50 : x
  2. Step 2: Convert to fraction form
    3,411/5,216.50 = 5,216.50/x
  3. Step 3: Cross multiply
    3,411x = 5,216.50 × 5,216.50
  4. Step 4: Simplify right side
    3,411x = 27,211,872.25
  5. Step 5: Solve for x
    x = 27,211,872.25/3,411
  6. Step 6: Final answer
    x = 7,977.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.