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Finding the Third Proportional to 3,857.63 and 5,840.44

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Solution

The third proportional to 3,857.63 and 5,840.44 is: 8,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.63 : 5,840.44 = 5,840.44 : x
  2. Step 2: Convert to fraction form
    3,857.63/5,840.44 = 5,840.44/x
  3. Step 3: Cross multiply
    3,857.63x = 5,840.44 × 5,840.44
  4. Step 4: Simplify right side
    3,857.63x = 34,110,710.19
  5. Step 5: Solve for x
    x = 34,110,710.19/3,857.63
  6. Step 6: Final answer
    x = 8,842.41

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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.