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Finding the Third Proportional to 3,410.25 and 5,265.38

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Solution

The third proportional to 3,410.25 and 5,265.38 is: 8,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.25 : 5,265.38 = 5,265.38 : x
  2. Step 2: Convert to fraction form
    3,410.25/5,265.38 = 5,265.38/x
  3. Step 3: Cross multiply
    3,410.25x = 5,265.38 × 5,265.38
  4. Step 4: Simplify right side
    3,410.25x = 27,724,173.89
  5. Step 5: Solve for x
    x = 27,724,173.89/3,410.25
  6. Step 6: Final answer
    x = 8,129.66

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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.