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Finding the Third Proportional to 3,841.17 and 5,762.39

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Solution

The third proportional to 3,841.17 and 5,762.39 is: 8,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.17 : 5,762.39 = 5,762.39 : x
  2. Step 2: Convert to fraction form
    3,841.17/5,762.39 = 5,762.39/x
  3. Step 3: Cross multiply
    3,841.17x = 5,762.39 × 5,762.39
  4. Step 4: Simplify right side
    3,841.17x = 33,205,145.72
  5. Step 5: Solve for x
    x = 33,205,145.72/3,841.17
  6. Step 6: Final answer
    x = 8,644.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.