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Finding the Third Proportional to 3,804.47 and 5,236.84

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Solution

The third proportional to 3,804.47 and 5,236.84 is: 7,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.47 : 5,236.84 = 5,236.84 : x
  2. Step 2: Convert to fraction form
    3,804.47/5,236.84 = 5,236.84/x
  3. Step 3: Cross multiply
    3,804.47x = 5,236.84 × 5,236.84
  4. Step 4: Simplify right side
    3,804.47x = 27,424,491.55
  5. Step 5: Solve for x
    x = 27,424,491.55/3,804.47
  6. Step 6: Final answer
    x = 7,208.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.