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Finding the Third Proportional to 3,841.17 and 5,485.85

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Solution

The third proportional to 3,841.17 and 5,485.85 is: 7,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.17 : 5,485.85 = 5,485.85 : x
  2. Step 2: Convert to fraction form
    3,841.17/5,485.85 = 5,485.85/x
  3. Step 3: Cross multiply
    3,841.17x = 5,485.85 × 5,485.85
  4. Step 4: Simplify right side
    3,841.17x = 30,094,567.37
  5. Step 5: Solve for x
    x = 30,094,567.37/3,841.17
  6. Step 6: Final answer
    x = 7,834.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.