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Finding the Third Proportional to 3,903.56 and 6,243.56

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Solution

The third proportional to 3,903.56 and 6,243.56 is: 9,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.56 : 6,243.56 = 6,243.56 : x
  2. Step 2: Convert to fraction form
    3,903.56/6,243.56 = 6,243.56/x
  3. Step 3: Cross multiply
    3,903.56x = 6,243.56 × 6,243.56
  4. Step 4: Simplify right side
    3,903.56x = 38,982,072.69
  5. Step 5: Solve for x
    x = 38,982,072.69/3,903.56
  6. Step 6: Final answer
    x = 9,986.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.