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Finding the Third Proportional to 5,433.75 and 8,212.13

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Solution

The third proportional to 5,433.75 and 8,212.13 is: 12,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433.75 : 8,212.13 = 8,212.13 : x
  2. Step 2: Convert to fraction form
    5,433.75/8,212.13 = 8,212.13/x
  3. Step 3: Cross multiply
    5,433.75x = 8,212.13 × 8,212.13
  4. Step 4: Simplify right side
    5,433.75x = 67,438,997.02
  5. Step 5: Solve for x
    x = 67,438,997.02/5,433.75
  6. Step 6: Final answer
    x = 12,411.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.