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Finding the Third Proportional to 3,829.15 and 5,916.80

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Solution

The third proportional to 3,829.15 and 5,916.80 is: 9,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.15 : 5,916.80 = 5,916.80 : x
  2. Step 2: Convert to fraction form
    3,829.15/5,916.80 = 5,916.80/x
  3. Step 3: Cross multiply
    3,829.15x = 5,916.80 × 5,916.80
  4. Step 4: Simplify right side
    3,829.15x = 35,008,485.26
  5. Step 5: Solve for x
    x = 35,008,485.26/3,829.15
  6. Step 6: Final answer
    x = 9,142.63

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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.